test: a handler that flushes a write and never commits it fails its test

Helpers flush and handlers commit — but every test request shared the test's session, so a
follow-up GET or an assertion read the flushed write and the suite stayed green over a handler
whose commit was missing (production's get_db closes the session: the write is rolled back behind
a 200). The db fixture now hands out `db.info["request"]`: the same session, recording each request
that ends normally with a flushed, uncommitted write, and failing the test on it at teardown. All
28 get_db overrides use it (a convention test keeps it so); the full suite passes under it, and
dropping the commit from add_item turns a playlist test red.

backend/tests/test_plex_query_conversion.py

@@ -100,7 +100,7 @@ def _request(db, user, monkeypatch, override_dep, method, path, json=None):
     monkeypatch.setattr(
         state, "_configured_cache", True
     )  # the request gate 503s an unconfigured app
-    override_dep(get_db, lambda: db)
+    override_dep(get_db, db.info["request"])
     override_dep(current_user, lambda: user)
     client = TestClient(app)  # no context manager: skip lifespan (scheduler/HLS sweep)
     return client.request(method, path, json=json)