[BiliBiliBangumiIE] supports play_info extraction from webpage

- i.e. extracts premiums formats with logged-in cookies, haven't tested with format `12240` yet.
  * test url: https://www.bilibili.com/bangumi/play/ep829434, cookies: logged-in, non-premium

yt_dlp/extractor/bilibili.py

@@ -864,10 +864,16 @@ class BiliBiliBangumiIE(BilibiliBaseIE):
             self.raise_login_required('This video is for premium members only')
 
         headers['Referer'] = url
-        play_info = self._download_json(
-            'https://api.bilibili.com/pgc/player/web/v2/playurl', episode_id,
-            'Extracting episode', query={'fnval': 12240, 'ep_id': episode_id},
-            headers=headers)
+
+        play_info = self._search_json(
+            r'playurlSSRData\s*?=\s*?', webpage, 'embedded page info', episode_id,
+            end_pattern='\n', default=None)
+        if not play_info:
+            play_info = self._download_json(
+                'https://api.bilibili.com/pgc/player/web/v2/playurl', episode_id,
+                'Extracting episode', query={'fnval': 12240, 'ep_id': episode_id},
+                headers=headers)
+
         premium_only = play_info.get('code') == -10403
         play_info = traverse_obj(play_info, ('result', 'video_info', {dict})) or {}