fix: Use auto_unmute as input to stream selection for HA (#2562)

- Closes #2479

src/components-lib/live/audio-intent.ts

@@ -0,0 +1,15 @@
+import {
+  MEDIA_ACTION_POSITIVE_CONDITIONS,
+  type AutoUnmuteCondition,
+} from '../../config/schema/common/media-actions.js';
+
+/**
+ * Whether the configured auto-unmute policy will unmute a stream as it loads
+ * (i.e. on selection or visibility), rather than only later in response to a
+ * user action or call event. Used to decide whether to pre-select a camera's
+ * audio-carrying stream up front instead of switching to it after the fact.
+ */
+export const isAudioIntendedOnLoad = (
+  autoUnmute: readonly AutoUnmuteCondition[],
+): boolean =>
+  MEDIA_ACTION_POSITIVE_CONDITIONS.some((condition) => autoUnmute.includes(condition));