[ie/tiktok:live] Fix room ID extraction (#10408)

Closes #10407
Authored by: mokrueger

yt_dlp/extractor/tiktok.py

@@ -1458,9 +1458,11 @@ class TikTokLiveIE(TikTokBaseIE):
 
         if webpage:
             data = self._get_sigi_state(webpage, uploader or room_id)
-            room_id = (traverse_obj(data, ('UserModule', 'users', ..., 'roomId', {str_or_none}), get_all=False)
+            room_id = (
-                       or self._search_regex(r'snssdk\d*://live\?room_id=(\d+)', webpage, 'room ID', default=None)
+                traverse_obj(data, ((
-                       or room_id)
+                    ('LiveRoom', 'liveRoomUserInfo', 'user'),
+                    ('UserModule', 'users', ...)), 'roomId', {str}, any))
+                or self._search_regex(r'snssdk\d*://live\?room_id=(\d+)', webpage, 'room ID', default=room_id))
             uploader = uploader or traverse_obj(
                 data, ('LiveRoom', 'liveRoomUserInfo', 'user', 'uniqueId'),
                 ('UserModule', 'users', ..., 'uniqueId'), get_all=False, expected_type=str)