diff --git a/changelog.d/17842.misc b/changelog.d/17842.misc
new file mode 100644
index 0000000000000000000000000000000000000000..78af706c31b50a464c7ea2f765a646d04d97a06f
--- /dev/null
+++ b/changelog.d/17842.misc
@@ -0,0 +1 @@
+Fix some typing issues uncovered by upgrading mypy to 1.11.x.
diff --git a/poetry.lock b/poetry.lock
index 5350c6ddfa49f7651841997749c48aa9a3577233..42d7f03c5c97667f934a3d7e7452864e52a60189 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -1319,44 +1319,44 @@ files = [
 
 [[package]]
 name = "mypy"
-version = "1.10.1"
+version = "1.11.2"
 description = "Optional static typing for Python"
 optional = false
 python-versions = ">=3.8"
 files = [
-    {file = "mypy-1.10.1-cp310-cp310-macosx_10_9_x86_64.whl", hash = "sha256:e36f229acfe250dc660790840916eb49726c928e8ce10fbdf90715090fe4ae02"},
-    {file = "mypy-1.10.1-cp310-cp310-macosx_11_0_arm64.whl", hash = "sha256:51a46974340baaa4145363b9e051812a2446cf583dfaeba124af966fa44593f7"},
-    {file = "mypy-1.10.1-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:901c89c2d67bba57aaaca91ccdb659aa3a312de67f23b9dfb059727cce2e2e0a"},
-    {file = "mypy-1.10.1-cp310-cp310-musllinux_1_1_x86_64.whl", hash = "sha256:0cd62192a4a32b77ceb31272d9e74d23cd88c8060c34d1d3622db3267679a5d9"},
-    {file = "mypy-1.10.1-cp310-cp310-win_amd64.whl", hash = "sha256:a2cbc68cb9e943ac0814c13e2452d2046c2f2b23ff0278e26599224cf164e78d"},
-    {file = "mypy-1.10.1-cp311-cp311-macosx_10_9_x86_64.whl", hash = "sha256:bd6f629b67bb43dc0d9211ee98b96d8dabc97b1ad38b9b25f5e4c4d7569a0c6a"},
-    {file = "mypy-1.10.1-cp311-cp311-macosx_11_0_arm64.whl", hash = "sha256:a1bbb3a6f5ff319d2b9d40b4080d46cd639abe3516d5a62c070cf0114a457d84"},
-    {file = "mypy-1.10.1-cp311-cp311-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:b8edd4e9bbbc9d7b79502eb9592cab808585516ae1bcc1446eb9122656c6066f"},
-    {file = "mypy-1.10.1-cp311-cp311-musllinux_1_1_x86_64.whl", hash = "sha256:6166a88b15f1759f94a46fa474c7b1b05d134b1b61fca627dd7335454cc9aa6b"},
-    {file = "mypy-1.10.1-cp311-cp311-win_amd64.whl", hash = "sha256:5bb9cd11c01c8606a9d0b83ffa91d0b236a0e91bc4126d9ba9ce62906ada868e"},
-    {file = "mypy-1.10.1-cp312-cp312-macosx_10_9_x86_64.whl", hash = "sha256:d8681909f7b44d0b7b86e653ca152d6dff0eb5eb41694e163c6092124f8246d7"},
-    {file = "mypy-1.10.1-cp312-cp312-macosx_11_0_arm64.whl", hash = "sha256:378c03f53f10bbdd55ca94e46ec3ba255279706a6aacaecac52ad248f98205d3"},
-    {file = "mypy-1.10.1-cp312-cp312-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:6bacf8f3a3d7d849f40ca6caea5c055122efe70e81480c8328ad29c55c69e93e"},
-    {file = "mypy-1.10.1-cp312-cp312-musllinux_1_1_x86_64.whl", hash = "sha256:701b5f71413f1e9855566a34d6e9d12624e9e0a8818a5704d74d6b0402e66c04"},
-    {file = "mypy-1.10.1-cp312-cp312-win_amd64.whl", hash = "sha256:3c4c2992f6ea46ff7fce0072642cfb62af7a2484efe69017ed8b095f7b39ef31"},
-    {file = "mypy-1.10.1-cp38-cp38-macosx_10_9_x86_64.whl", hash = "sha256:604282c886497645ffb87b8f35a57ec773a4a2721161e709a4422c1636ddde5c"},
-    {file = "mypy-1.10.1-cp38-cp38-macosx_11_0_arm64.whl", hash = "sha256:37fd87cab83f09842653f08de066ee68f1182b9b5282e4634cdb4b407266bade"},
-    {file = "mypy-1.10.1-cp38-cp38-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:8addf6313777dbb92e9564c5d32ec122bf2c6c39d683ea64de6a1fd98b90fe37"},
-    {file = "mypy-1.10.1-cp38-cp38-musllinux_1_1_x86_64.whl", hash = "sha256:5cc3ca0a244eb9a5249c7c583ad9a7e881aa5d7b73c35652296ddcdb33b2b9c7"},
-    {file = "mypy-1.10.1-cp38-cp38-win_amd64.whl", hash = "sha256:1b3a2ffce52cc4dbaeee4df762f20a2905aa171ef157b82192f2e2f368eec05d"},
-    {file = "mypy-1.10.1-cp39-cp39-macosx_10_9_x86_64.whl", hash = "sha256:fe85ed6836165d52ae8b88f99527d3d1b2362e0cb90b005409b8bed90e9059b3"},
-    {file = "mypy-1.10.1-cp39-cp39-macosx_11_0_arm64.whl", hash = "sha256:c2ae450d60d7d020d67ab440c6e3fae375809988119817214440033f26ddf7bf"},
-    {file = "mypy-1.10.1-cp39-cp39-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:6be84c06e6abd72f960ba9a71561c14137a583093ffcf9bbfaf5e613d63fa531"},
-    {file = "mypy-1.10.1-cp39-cp39-musllinux_1_1_x86_64.whl", hash = "sha256:2189ff1e39db399f08205e22a797383613ce1cb0cb3b13d8bcf0170e45b96cc3"},
-    {file = "mypy-1.10.1-cp39-cp39-win_amd64.whl", hash = "sha256:97a131ee36ac37ce9581f4220311247ab6cba896b4395b9c87af0675a13a755f"},
-    {file = "mypy-1.10.1-py3-none-any.whl", hash = "sha256:71d8ac0b906354ebda8ef1673e5fde785936ac1f29ff6987c7483cfbd5a4235a"},
-    {file = "mypy-1.10.1.tar.gz", hash = "sha256:1f8f492d7db9e3593ef42d4f115f04e556130f2819ad33ab84551403e97dd4c0"},
+    {file = "mypy-1.11.2-cp310-cp310-macosx_10_9_x86_64.whl", hash = "sha256:d42a6dd818ffce7be66cce644f1dff482f1d97c53ca70908dff0b9ddc120b77a"},
+    {file = "mypy-1.11.2-cp310-cp310-macosx_11_0_arm64.whl", hash = "sha256:801780c56d1cdb896eacd5619a83e427ce436d86a3bdf9112527f24a66618fef"},
+    {file = "mypy-1.11.2-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.manylinux_2_28_x86_64.whl", hash = "sha256:41ea707d036a5307ac674ea172875f40c9d55c5394f888b168033177fce47383"},
+    {file = "mypy-1.11.2-cp310-cp310-musllinux_1_1_x86_64.whl", hash = "sha256:6e658bd2d20565ea86da7d91331b0eed6d2eee22dc031579e6297f3e12c758c8"},
+    {file = "mypy-1.11.2-cp310-cp310-win_amd64.whl", hash = "sha256:478db5f5036817fe45adb7332d927daa62417159d49783041338921dcf646fc7"},
+    {file = "mypy-1.11.2-cp311-cp311-macosx_10_9_x86_64.whl", hash = "sha256:75746e06d5fa1e91bfd5432448d00d34593b52e7e91a187d981d08d1f33d4385"},
+    {file = "mypy-1.11.2-cp311-cp311-macosx_11_0_arm64.whl", hash = "sha256:a976775ab2256aadc6add633d44f100a2517d2388906ec4f13231fafbb0eccca"},
+    {file = "mypy-1.11.2-cp311-cp311-manylinux_2_17_x86_64.manylinux2014_x86_64.manylinux_2_28_x86_64.whl", hash = "sha256:cd953f221ac1379050a8a646585a29574488974f79d8082cedef62744f0a0104"},
+    {file = "mypy-1.11.2-cp311-cp311-musllinux_1_1_x86_64.whl", hash = "sha256:57555a7715c0a34421013144a33d280e73c08df70f3a18a552938587ce9274f4"},
+    {file = "mypy-1.11.2-cp311-cp311-win_amd64.whl", hash = "sha256:36383a4fcbad95f2657642a07ba22ff797de26277158f1cc7bd234821468b1b6"},
+    {file = "mypy-1.11.2-cp312-cp312-macosx_10_9_x86_64.whl", hash = "sha256:e8960dbbbf36906c5c0b7f4fbf2f0c7ffb20f4898e6a879fcf56a41a08b0d318"},
+    {file = "mypy-1.11.2-cp312-cp312-macosx_11_0_arm64.whl", hash = "sha256:06d26c277962f3fb50e13044674aa10553981ae514288cb7d0a738f495550b36"},
+    {file = "mypy-1.11.2-cp312-cp312-manylinux_2_17_x86_64.manylinux2014_x86_64.manylinux_2_28_x86_64.whl", hash = "sha256:6e7184632d89d677973a14d00ae4d03214c8bc301ceefcdaf5c474866814c987"},
+    {file = "mypy-1.11.2-cp312-cp312-musllinux_1_1_x86_64.whl", hash = "sha256:3a66169b92452f72117e2da3a576087025449018afc2d8e9bfe5ffab865709ca"},
+    {file = "mypy-1.11.2-cp312-cp312-win_amd64.whl", hash = "sha256:969ea3ef09617aff826885a22ece0ddef69d95852cdad2f60c8bb06bf1f71f70"},
+    {file = "mypy-1.11.2-cp38-cp38-macosx_10_9_x86_64.whl", hash = "sha256:37c7fa6121c1cdfcaac97ce3d3b5588e847aa79b580c1e922bb5d5d2902df19b"},
+    {file = "mypy-1.11.2-cp38-cp38-macosx_11_0_arm64.whl", hash = "sha256:4a8a53bc3ffbd161b5b2a4fff2f0f1e23a33b0168f1c0778ec70e1a3d66deb86"},
+    {file = "mypy-1.11.2-cp38-cp38-manylinux_2_17_x86_64.manylinux2014_x86_64.manylinux_2_28_x86_64.whl", hash = "sha256:2ff93107f01968ed834f4256bc1fc4475e2fecf6c661260066a985b52741ddce"},
+    {file = "mypy-1.11.2-cp38-cp38-musllinux_1_1_x86_64.whl", hash = "sha256:edb91dded4df17eae4537668b23f0ff6baf3707683734b6a818d5b9d0c0c31a1"},
+    {file = "mypy-1.11.2-cp38-cp38-win_amd64.whl", hash = "sha256:ee23de8530d99b6db0573c4ef4bd8f39a2a6f9b60655bf7a1357e585a3486f2b"},
+    {file = "mypy-1.11.2-cp39-cp39-macosx_10_9_x86_64.whl", hash = "sha256:801ca29f43d5acce85f8e999b1e431fb479cb02d0e11deb7d2abb56bdaf24fd6"},
+    {file = "mypy-1.11.2-cp39-cp39-macosx_11_0_arm64.whl", hash = "sha256:af8d155170fcf87a2afb55b35dc1a0ac21df4431e7d96717621962e4b9192e70"},
+    {file = "mypy-1.11.2-cp39-cp39-manylinux_2_17_x86_64.manylinux2014_x86_64.manylinux_2_28_x86_64.whl", hash = "sha256:f7821776e5c4286b6a13138cc935e2e9b6fde05e081bdebf5cdb2bb97c9df81d"},
+    {file = "mypy-1.11.2-cp39-cp39-musllinux_1_1_x86_64.whl", hash = "sha256:539c570477a96a4e6fb718b8d5c3e0c0eba1f485df13f86d2970c91f0673148d"},
+    {file = "mypy-1.11.2-cp39-cp39-win_amd64.whl", hash = "sha256:3f14cd3d386ac4d05c5a39a51b84387403dadbd936e17cb35882134d4f8f0d24"},
+    {file = "mypy-1.11.2-py3-none-any.whl", hash = "sha256:b499bc07dbdcd3de92b0a8b29fdf592c111276f6a12fe29c30f6c417dd546d12"},
+    {file = "mypy-1.11.2.tar.gz", hash = "sha256:7f9993ad3e0ffdc95c2a14b66dee63729f021968bff8ad911867579c65d13a79"},
 ]
 
 [package.dependencies]
 mypy-extensions = ">=1.0.0"
 tomli = {version = ">=1.1.0", markers = "python_version < \"3.11\""}
-typing-extensions = ">=4.1.0"
+typing-extensions = ">=4.6.0"
 
 [package.extras]
 dmypy = ["psutil (>=4.0)"]
diff --git a/scripts-dev/mypy_synapse_plugin.py b/scripts-dev/mypy_synapse_plugin.py
index 509047b41b15a3466f3212405ba0864a7933876c..a15c3c005cf50e95560945b9e796e84b9c4526c5 100644
--- a/scripts-dev/mypy_synapse_plugin.py
+++ b/scripts-dev/mypy_synapse_plugin.py
@@ -360,7 +360,7 @@ def is_cacheable(
         # For a type alias, check if the underlying real type is cachable.
         return is_cacheable(mypy.types.get_proper_type(rt), signature, verbose)
 
-    elif isinstance(rt, UninhabitedType) and rt.is_noreturn:
+    elif isinstance(rt, UninhabitedType):
         # There is no return value, just consider it cachable. This is only used
         # in tests.
         return True, None
diff --git a/synmark/__main__.py b/synmark/__main__.py
index 746261a1eca4097adce91337e8da732797e96981..4944c2f3b07800a50482dcd233aeae49317a50d2 100644
--- a/synmark/__main__.py
+++ b/synmark/__main__.py
@@ -90,6 +90,10 @@ if __name__ == "__main__":
 
     if runner.args.worker:
         if runner.args.log:
+            # sys.__stdout__ can technically be None, just exit if it's the case
+            if not sys.__stdout__:
+                exit(1)
+
             globalLogBeginner.beginLoggingTo(
                 [textFileLogObserver(sys.__stdout__)], redirectStandardIO=False
             )
diff --git a/tests/media/test_oembed.py b/tests/media/test_oembed.py
index 29d4580697f9ac8e68fa756b4011d17a1872fdfc..b8265ff9cae082ee1c722551aec6e72d673fc1c0 100644
--- a/tests/media/test_oembed.py
+++ b/tests/media/test_oembed.py
@@ -20,6 +20,7 @@
 #
 
 import json
+from typing import Any
 
 from parameterized import parameterized
 
@@ -52,6 +53,7 @@ class OEmbedTests(HomeserverTestCase):
 
     def test_version(self) -> None:
         """Accept versions that are similar to 1.0 as a string or int (or missing)."""
+        version: Any
         for version in ("1.0", 1.0, 1):
             result = self.parse_response({"version": version})
             # An empty Open Graph response is an error, ensure the URL is included.
@@ -69,6 +71,7 @@ class OEmbedTests(HomeserverTestCase):
 
     def test_cache_age(self) -> None:
         """Ensure a cache-age is parsed properly."""
+        cache_age: Any
         # Correct-ish cache ages are allowed.
         for cache_age in ("1", 1.0, 1):
             result = self.parse_response({"cache_age": cache_age})
diff --git a/tests/push/test_push_rule_evaluator.py b/tests/push/test_push_rule_evaluator.py
index c1f8e18bd92d314568255328fca000119194bce8..3898532acffabceb8468e89a68cd2e4be511182d 100644
--- a/tests/push/test_push_rule_evaluator.py
+++ b/tests/push/test_push_rule_evaluator.py
@@ -454,6 +454,7 @@ class PushRuleEvaluatorTestCase(unittest.TestCase):
             {"value": False},
             "incorrect values should not match",
         )
+        value: Any
         for value in ("foobaz", 1, 1.1, None, [], {}):
             self._assert_not_matches(
                 condition,
@@ -494,6 +495,7 @@ class PushRuleEvaluatorTestCase(unittest.TestCase):
             {"value": None},
             "exact value should match",
         )
+        value: Any
         for value in ("foobaz", True, False, 1, 1.1, [], {}):
             self._assert_not_matches(
                 condition,