Mitigate CI cache timeouts and wire venue door-staff dialogue

- Drop actions/cache@v4 from the checks job: the Gitea runner cannot reach
  GitHub's cache service (/twirp/...CacheService timeouts, ~2min retries);
  Godot import is fast enough without it. Add GODOT_SILENCE_ROOT_WARNING=1.
- Document the cache situation and re-enable path in docs/RELEASING.md
- VenueScenario.door_staff_line(context, rng): seeded-random venue lines
- GameManager logs id/ticket/wand-check, refusal, and prohibited-item lines
  from the venue scenario (Joke Shop flavor) during inspection/screening
- Test coverage: all Joke Shop contexts, unknown contexts, empty venues,
  deterministic seeded picks (54 tests pass)

src/test/tests/test_scenarios.gd

@@ -63,6 +63,30 @@ func test_late_phase_reaches_violent_event() -> bool:
 			c = false
 	return a and b and TestUtils.check(c, "all venues declare a LATE phase")
 
+func test_door_staff_lines_available() -> bool:
+	var scenario: VenueScenario = ScenarioFactory.joke_shop()
+	var rng := RandomNumberGenerator.new()
+	rng.seed = 7
+	var ok := true
+	for context in ["id_check", "ticket_check", "wand_check", "refusal", "prohibited_item"]:
+		var line: String = scenario.door_staff_line(context, rng)
+		if line == "":
+			ok = false
+	var a := TestUtils.check(ok, "all joke-shop contexts have a door-staff line")
+	var b := TestUtils.check_eq(scenario.door_staff_line("unknown_context", rng), "", "unknown context returns empty")
+	var b_country := ScenarioFactory.hollywood_building()
+	var c := TestUtils.check_eq(b_country.door_staff_line("refusal", rng), "", "venue without lines returns empty")
+	# Same seed picks the same line.
+	var r0 := RandomNumberGenerator.new()
+	r0.seed = 11
+	var r1 := RandomNumberGenerator.new()
+	r1.seed = 11
+	var d := TestUtils.check_eq(
+		scenario.door_staff_line("wand_check", r0),
+		scenario.door_staff_line("wand_check", r1),
+		"seeded door-staff pick is deterministic")
+	return a and b and c and d
+
 func test_protester_archetype_present() -> bool:
 	var profiles := ScenarioFactory.shared_profiles()
 	var protester_found := false