[ie/chaturbate] Fix support for non-public streams (#11624)

Fix bug in 720b3dc453

Closes #11623
Authored by: jkruse

yt_dlp/extractor/chaturbate.py

@@ -59,17 +59,16 @@ class ChaturbateIE(InfoExtractor):
                 'Accept': 'application/json',
             }, fatal=False, impersonate=True) or {}
 
-        status = response.get('room_status')
-        if status != 'public':
+        m3u8_url = response.get('url')
+        if not m3u8_url:
+            status = response.get('room_status')
             if error := self._ERROR_MAP.get(status):
                 raise ExtractorError(error, expected=True)
-            self.report_warning('Falling back to webpage extraction')
+            if status == 'public':
+                self.raise_geo_restricted()
+            self.report_warning(f'Got status "{status}" from API; falling back to webpage extraction')
             return None
 
-        m3u8_url = response.get('url')
-        if not m3u8_url:
-            self.raise_geo_restricted()
-
         return {
             'id': video_id,
             'title': video_id,