refactor(e2e): make suite pass its shipped strict basedpyright config

The suite ships tests/pyrightconfig.json (strict, no Any), but basedpyright
--project tests reported four errors in it: three reportAny on the parametrize
ids=lambda c: c.__name__, and one reportUnusedFunction on the underscore-prefixed
autouse fixture _require_live_proxy. Replace the untyped lambda with a typed
_case_id(case_cls: Type[_BudgetCase]) -> str so the ids are no longer Any, and
rename the fixture to require_live_proxy so basedpyright no longer treats it as an
unused private function (it is referenced only by pytest's autouse machinery).
basedpyright --project tests now reports zero errors.

tests/e2e/budgets/test_budget_enforcement_e2e.py

@@ -127,6 +127,10 @@ class TeamMemberBudgetCase(_BudgetCase):
         self._undo.append(lambda: self.client.delete_key(self.key))
 
 
+def _case_id(case_cls: Type[_BudgetCase]) -> str:
+    return case_cls.__name__
+
+
 @pytest.mark.parametrize(
     "case_cls",
     [
@@ -136,7 +140,7 @@ class TeamMemberBudgetCase(_BudgetCase):
         OrganizationBudgetCase,
         TeamMemberBudgetCase,
     ],
-    ids=lambda c: c.__name__,
+    ids=_case_id,
 )
 def test_budget_enforcement(
     client: BudgetClient, case_cls: Type[_BudgetCase]

tests/e2e/conftest.py

@@ -63,7 +63,7 @@ def pytest_sessionfinish(session: pytest.Session, exitstatus: int) -> None:
 
 
 @pytest.fixture(scope="session", autouse=True)
-def _require_live_proxy() -> None:
+def require_live_proxy() -> None:
     """Skip the entire session unless a proxy answers its liveness probe."""
     try:
         resp = requests.get(f"{PROXY_BASE_URL}/health/liveliness", timeout=5)