feat(web): real channel filter — multi-select of the user's channels

The free-text 'channel' filter was dead: it exact-matched SummaryRow.Channel,
which is just the provider ('youtube'), because videos never stored their source
channel. Now they do.

- migration 014: videos.channel_title (nullable; existing rows backfill on the
  next discovery pass, pasted videos immediately).
- discovery (NewVideos) + paste (VideoByID) populate channel_title; UpsertVideo
  persists it, preserving an existing title when an update arrives empty.
- store.DistinctChannels lists a user's channels (RLS-scoped); SummaryRow carries
  ChannelTitle via the shared projection.
- Filter: single Channel -> Channels []string, matching on ChannelTitle; the feed
  renders a multi-select of DistinctChannels (hidden until channels exist).
- migrate tests: 014 reversibility + fixed the relative-step counts in the 010/011
  up/down tests (014 shifted the topology).

TDD throughout: channel persist + distinct, adapter channel wiring, multi-channel
filter match, handler channel filter, migration up/down.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

internal/adapters/store/videos.go

@@ -46,14 +46,15 @@ func (s *Store) UpsertVideo(ctx context.Context, v domain.Video) (string, error)
 		}
 
 		if err := tx.QueryRow(ctx,
-			`INSERT INTO videos (user_id, provider, provider_video_id, title, url, published_at)
-			 VALUES ($1, $2, $3, $4, $5, $6)
+			`INSERT INTO videos (user_id, provider, provider_video_id, title, url, published_at, channel_title)
+			 VALUES ($1, $2, $3, $4, $5, $6, $7)
 			 ON CONFLICT (user_id, provider, provider_video_id) DO UPDATE SET
-			     title        = EXCLUDED.title,
-			     url          = EXCLUDED.url,
-			     published_at = EXCLUDED.published_at
+			     title         = EXCLUDED.title,
+			     url           = EXCLUDED.url,
+			     published_at  = EXCLUDED.published_at,
+			     channel_title = COALESCE(NULLIF(EXCLUDED.channel_title, ''), videos.channel_title)
 			 RETURNING id`,
-			v.UserID, provider, v.ProviderVideoID, v.Title, v.URL, nullTime(v.PublishedAt),
+			v.UserID, provider, v.ProviderVideoID, v.Title, v.URL, nullTime(v.PublishedAt), v.ChannelTitle,
 		).Scan(&id); err != nil {
 			return fmt.Errorf("store: upsert video: %w", err)
 		}
@@ -110,3 +111,31 @@ func (s *Store) NewestUnsummarizedVideoIDs(ctx context.Context, userID string, l
 	}
 	return ids, nil
 }
+
+// DistinctChannels returns the user's distinct, non-empty source channel titles
+// (the channels they have videos from), alphabetically — the option list for the
+// feed's channel filter. RLS-scoped via withUser.
+func (s *Store) DistinctChannels(ctx context.Context, userID string) ([]string, error) {
+	var out []string
+	if err := s.withUser(ctx, userID, func(tx pgx.Tx) error {
+		rows, err := tx.Query(ctx,
+			`SELECT DISTINCT channel_title FROM videos
+			  WHERE user_id = $1 AND channel_title IS NOT NULL AND channel_title <> ''
+			  ORDER BY channel_title`, userID)
+		if err != nil {
+			return fmt.Errorf("store: distinct channels: %w", err)
+		}
+		defer rows.Close()
+		for rows.Next() {
+			var c string
+			if err := rows.Scan(&c); err != nil {
+				return fmt.Errorf("store: scan channel: %w", err)
+			}
+			out = append(out, c)
+		}
+		return rows.Err()
+	}); err != nil {
+		return nil, err
+	}
+	return out, nil
+}