feat(catalog): a video's related videos, without what the user has seen

GET /api/search/related/{video_id} reads the list YouTube shows beside a
video from the website's InnerTube "next" endpoint (no quota), and brings
it into the catalog the way live-search results come in. It leaves out
what the user watched or hid, here or in their Takeout history (unless
taken back to "new" since), blocked channels and the video itself, and
pages on until 20 are gathered (at most 4 pages). region=topical|hu picks
the locale the list is filled in. Its own per-user daily cap
(related_daily_limit_per_user, one event per opened list); a failed
scrape answers 422 youtube/unavailable.

The InnerTube request (live key, consent cookie, errors) moves into
youtube/innertube.py, shared by the search scrape and the related one.

backend/app/reader/queries.py

@@ -319,6 +319,36 @@ def held_by(db: Session, user: User, video_ids: list[str]) -> set[str]:
     )
 
 
+def seen_by(db: Session, user: User, video_ids: list[str]) -> set[str]:
+    """Which of these videos the user has already seen or set aside: watched or hidden here, or in
+    their uploaded Takeout history unless they took it back to "new" here since. The ids need not
+    be in the catalog — a Takeout row names a video the catalog may never have had — so a list
+    of what YouTube suggests can drop them before anything is ingested."""
+    if not video_ids:
+        return set()
+    marked = select(VideoState.video_id).where(
+        owned_by(VideoState.user_id, user),
+        VideoState.video_id.in_(video_ids),
+        VideoState.status.in_(("watched", "hidden")),
+    )
+    unmarked_since = (
+        select(VideoUnmark.id)
+        .where(
+            owned_by(VideoUnmark.user_id, user),
+            VideoUnmark.video_id == TakeoutItem.video_id,
+            VideoUnmark.at > TakeoutItem.at,
+        )
+        .exists()
+    )
+    in_history = select(TakeoutItem.video_id).where(
+        owned_by(TakeoutItem.user_id, user),
+        TakeoutItem.kind == TakeoutKind.WATCHED,
+        TakeoutItem.video_id.in_(video_ids),
+        ~unmarked_since,
+    )
+    return set(db.scalars(marked)) | set(db.scalars(in_history))
+
+
 def feed_rows_by_ids(db: Session, user: User, video_ids: list[str]) -> list[dict]:
     """These videos serialized with the feed's projection (their channel, this user's watch state,
     saved), in the order given."""