fix(search): every related and live-search request takes a slot, and a failed one gives it back

A related list's cursor cost nothing, and a cursor is a free string: a replayed one read and
enriched without end. Every request now takes a slot of the user's daily cap — taken under a lock
before the work (`quota.claim_action`), so requests sent together cannot all pass the last free
one, and given back when the request fails outright (`quota.refund_action`). The live search's
scrape source takes its slots the same way.

A limit of 0 turns the feature off: a distinct 409 `related_disabled` / `search_disabled`, and
`/api/me` says `related_enabled` / `search_enabled` so the UI can leave it out.

A videos.list that fails no longer reads as an empty page: `ingest_candidates` raises, and the
search and the related list answer the refusal (the shared budget spent says "quota") instead of
"no results". The two routes' page loops are one (`_gather`).

`clear` deletes only what the caller found: a related list's rows carry no find, and any user
could name them.

backend/tests/test_search_scrape_ingest.py

@@ -13,10 +13,13 @@ a placeholder never becomes the video's permanent date.
 
 from datetime import datetime, timezone
 
+import pytest
+
 from app import sysconfig
 from app.models import User
 from app.catalog.models import Video
 from app.catalog.search import ingest_candidates
+from app.youtube.client import YouTubeError
 
 
 class _FakeYT:
@@ -97,6 +100,25 @@ def test_scrape_ingest_enrich_miss_keeps_nonnull_placeholder(db):
     assert c.enriched_at is None
 
 
+class _FailingYT(_FakeYT):
+    def get_videos(self, ids):
+        raise YouTubeError("videos -> 403", reason="quotaExceeded", path="videos")
+
+
+def test_a_videos_list_failure_raises_and_keeps_the_stubs(db):
+    # Swallowed, it answered as a page with nothing on it — "no results" for a search whose lookup
+    # never ran. The stubs stay: the FK targets, backfilled later.
+    user = User(email="searcher3@example.com")
+    db.add(user)
+    db.commit()
+
+    with pytest.raises(YouTubeError):
+        ingest_candidates(db, _FailingYT({}), user, [_candidate("vid_ddddddd", "UC_chan_d")])
+
+    db.rollback()  # what the caller does: the stubs were committed before the lookup
+    assert db.get(Video, "vid_ddddddd") is not None
+
+
 def test_search_youtube_route_returns_422_when_ingest_fails(db, monkeypatch, override_dep):
     # Route-level guard (B-core-1): an ingest failure with nothing yet collected must surface as a 422
     # + message on this JSON endpoint (the FE hides 5xx behind a generic "connection lost" + auto-retry,