Add recently played to profiles

A play is recorded when a new track starts (pausing and resuming doesn't
count; returning after 10+ minutes does). Profiles show the last 10,
excluding the track playing now; 50 are kept per user. Recent plays are
free on every plan; the paid flag is renamed to fullHistory.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01MzFywujuH9TiuXbr9vjoX8

apps/api/src/db/schema.ts

@@ -142,6 +142,23 @@ export const nowPlaying = pgTable(
   (t) => [index('now_playing_track_idx').on(t.trackId)],
 );
 
+/** Recent plays per user, for "Recently played" on profiles. Trimmed to the latest LISTEN_HISTORY_LIMIT. */
+export const listens = pgTable(
+  'listens',
+  {
+    id: uuid('id').primaryKey().defaultRandom(),
+    userId: uuid('user_id')
+      .notNull()
+      .references(() => users.id, { onDelete: 'cascade' }),
+    trackId: uuid('track_id')
+      .notNull()
+      .references(() => tracks.id),
+    source: text('source').$type<NowPlayingProvider>().notNull(),
+    startedAt: timestamp('started_at', { withTimezone: true }).notNull().defaultNow(),
+  },
+  (t) => [index('listens_user_started_idx').on(t.userId, t.startedAt.desc())],
+);
+
 export const featuredSongs = pgTable('featured_songs', {
   userId: uuid('user_id')
     .primaryKey()