[ie/youtube:tab] Fix approximate timestamp extraction for feeds (#14539)

Authored by: coletdjnz

yt_dlp/extractor/youtube/_base.py

@@ -1196,7 +1196,7 @@ class YoutubeBaseInfoExtractor(InfoExtractor):
             except ValueError:
                 return None
 
-    def _parse_time_text(self, text):
+    def _parse_time_text(self, text, report_failure=True):
         if not text:
             return
         dt_ = self.extract_relative_time(text)
@@ -1211,7 +1211,7 @@ class YoutubeBaseInfoExtractor(InfoExtractor):
                         (r'([a-z]+\s*\d{1,2},?\s*20\d{2})', r'(?:.+|^)(?:live|premieres|ed|ing)(?:\s*(?:on|for))?\s*(.+\d)'),
                         text.lower(), 'time text', default=None)))
 
-        if text and timestamp is None and self._preferred_lang in (None, 'en'):
+        if report_failure and text and timestamp is None and self._preferred_lang in (None, 'en'):
             self.report_warning(
                 f'Cannot parse localized time text "{text}"', only_once=True)
         return timestamp

yt_dlp/extractor/youtube/_tab.py

@@ -341,7 +341,11 @@ class YoutubeTabBaseInfoExtractor(YoutubeBaseInfoExtractor):
                 'contentImage', *thumb_keys, 'thumbnailViewModel', 'image'), final_key='sources'),
             duration=traverse_obj(view_model, (
                 'contentImage', 'thumbnailViewModel', 'overlays', ..., 'thumbnailOverlayBadgeViewModel',
-                'thumbnailBadges', ..., 'thumbnailBadgeViewModel', 'text', {parse_duration}, any)))
+                'thumbnailBadges', ..., 'thumbnailBadgeViewModel', 'text', {parse_duration}, any)),
+            timestamp=(traverse_obj(view_model, (
+                'metadata', 'lockupMetadataViewModel', 'metadata', 'contentMetadataViewModel', 'metadataRows',
+                ..., 'metadataParts', ..., 'text', 'content', {lambda t: self._parse_time_text(t, report_failure=False)}, any))
+                if self._configuration_arg('approximate_date', ie_key=YoutubeTabIE) else None))
 
     def _rich_entries(self, rich_grid_renderer):
         if lockup_view_model := traverse_obj(rich_grid_renderer, ('content', 'lockupViewModel', {dict})):