[youtube:live] Extend _VALID_URL (Closes #10839)

youtube_dl/extractor/youtube.py

@@ -2152,7 +2152,7 @@ class YoutubeUserIE(YoutubeChannelIE):
 
 class YoutubeLiveIE(YoutubeBaseInfoExtractor):
     IE_DESC = 'YouTube.com live streams'
-    _VALID_URL = r'(?P<base_url>https?://(?:\w+\.)?youtube\.com/(?:user|channel)/(?P<id>[^/]+))/live'
+    _VALID_URL = r'(?P<base_url>https?://(?:\w+\.)?youtube\.com/(?:user|channel|c)/(?P<id>[^/]+))/live'
     IE_NAME = 'youtube:live'
 
     _TESTS = [{
@@ -2178,6 +2178,9 @@ class YoutubeLiveIE(YoutubeBaseInfoExtractor):
     }, {
         'url': 'https://www.youtube.com/channel/UC1yBKRuGpC1tSM73A0ZjYjQ/live',
         'only_matching': True,
+    }, {
+        'url': 'https://www.youtube.com/c/CommanderVideoHq/live',
+        'only_matching': True,
     }]
 
     def _real_extract(self, url):