Fix HomeKit media players when entity has duplicate sources (#83890)

fixes #83852 fixes #83698

tests/components/homekit/test_type_media_players.py

@@ -512,3 +512,48 @@ async def test_media_player_television_max_sources(hass, hk_driver, events, capl
     )
     await hass.async_block_till_done()
     assert acc.char_input_source.value == 0
+
+
+async def test_media_player_television_duplicate_sources(
+    hass, hk_driver, events, caplog
+):
+    """Test if television accessory with duplicate sources."""
+    entity_id = "media_player.television"
+    sources = ["MUSIC", "HDMI", "SCREEN MIRRORING", "HDMI", "MUSIC"]
+    hass.states.async_set(
+        entity_id,
+        None,
+        {
+            ATTR_DEVICE_CLASS: MediaPlayerDeviceClass.TV,
+            ATTR_SUPPORTED_FEATURES: 3469,
+            ATTR_MEDIA_VOLUME_MUTED: False,
+            ATTR_INPUT_SOURCE: "HDMI",
+            ATTR_INPUT_SOURCE_LIST: sources,
+        },
+    )
+    await hass.async_block_till_done()
+    acc = TelevisionMediaPlayer(hass, hk_driver, "MediaPlayer", entity_id, 2, None)
+    await acc.run()
+    await hass.async_block_till_done()
+
+    assert acc.aid == 2
+    assert acc.category == 31  # Television
+
+    assert acc.char_active.value == 0
+    assert acc.char_remote_key.value == 0
+    assert acc.char_input_source.value == 1
+    assert acc.char_mute.value is False
+
+    hass.states.async_set(
+        entity_id,
+        None,
+        {
+            ATTR_DEVICE_CLASS: MediaPlayerDeviceClass.TV,
+            ATTR_SUPPORTED_FEATURES: 3469,
+            ATTR_MEDIA_VOLUME_MUTED: False,
+            ATTR_INPUT_SOURCE: "MUSIC",
+            ATTR_INPUT_SOURCE_LIST: sources,
+        },
+    )
+    await hass.async_block_till_done()
+    assert acc.char_input_source.value == 0