Tighten context onboarding and actuator suggestions

app/ha/discovery.py

@@ -92,7 +92,9 @@ _ACTUATOR_DOMAINS = frozenset({
     "input_button",
     "lock",
     "light",
+    "media_player",
     "number",
+    "remote",
     "siren",
     "switch",
     "valve",
@@ -225,6 +227,8 @@ def _actuator_category(entity: HaEntitySummary) -> str:
         return "lock"
     if entity.domain == "fan":
         return "fan"
+    if entity.domain in {"media_player", "remote"}:
+        return "media_tv"
     if entity.domain in {"input_boolean", "number"}:
         return "helper"
     return entity.domain