diff --git a/pyproject.toml b/pyproject.toml
index cae1e1a..d28bde8 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -30,7 +30,7 @@ test = [
     "pytest-mock",
 ]
 mypy = [
-    "mypy",
+    "mypy>=0.930",
 ]
 
 [project.urls]
diff --git a/requirements-mypy.txt b/requirements-mypy.txt
index 444c145..f927b93 100644
--- a/requirements-mypy.txt
+++ b/requirements-mypy.txt
@@ -1,4 +1,4 @@
 # frozen requirements generated by pip-deepfreeze
-mypy==0.910
+mypy==0.930
 mypy-extensions==0.4.3
-toml==0.10.2
+tomli==1.2.2
diff --git a/src/runboat/k8s.py b/src/runboat/k8s.py
index 641982d..c3e9030 100644
--- a/src/runboat/k8s.py
+++ b/src/runboat/k8s.py
@@ -17,6 +17,7 @@ from kubernetes.client.exceptions import ApiException
 from kubernetes.client.models.v1_deployment import V1Deployment
 from kubernetes.client.models.v1_job import V1Job
 from pydantic import BaseModel
+from typing_extensions import NotRequired
 
 from .github import CommitInfo
 from .settings import BuildSettings, settings
@@ -56,10 +57,10 @@ def delete_deployment(deployment_name: str) -> None:
     )
 
 
-class PatchOperation(TypedDict, total=False):
+class PatchOperation(TypedDict):
     op: str
     path: str
-    value: str | int  # maybe absent, hence total=False above
+    value: NotRequired[str | int]
 
 
 @sync_to_async
diff --git a/src/runboat/utils.py b/src/runboat/utils.py
index 95f28cc..3a5d4bc 100644
--- a/src/runboat/utils.py
+++ b/src/runboat/utils.py
@@ -21,14 +21,12 @@ def slugify(s: str | int) -> str:
     return re.sub(r"[^a-z0-9]", "-", str(s).lower())
 
 
-# TODO replace ... with P below when mypy supports PEP 612
-#      (https://github.com/python/mypy/issues/8645)
 P = ParamSpec("P")
 R = TypeVar("R")
 T = TypeVar("T")
 
 
-def sync_to_async(func: Callable[..., R]) -> Callable[..., Awaitable[R]]:
+def sync_to_async(func: Callable[P, R]) -> Callable[P, Awaitable[R]]:
     @wraps(func)
     async def inner(*args: Any, **kwargs: Any) -> R:
         f = functools.partial(func, *args, **kwargs)
@@ -38,8 +36,8 @@ def sync_to_async(func: Callable[..., R]) -> Callable[..., Awaitable[R]]:
 
 
 def sync_to_async_iterator(
-    iterator_func: Callable[..., Generator[R, None, None]]
-) -> Callable[..., AsyncGenerator[R, None]]:
+    iterator_func: Callable[P, Generator[R, None, None]]
+) -> Callable[P, AsyncGenerator[R, None]]:
     @sync_to_async
     def async_next(iterator: Iterator[R]) -> R:
         try: