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/test/helpers.ts

@@ -17,7 +17,7 @@ function assertTestTargets() {
 
 export async function resetState() {
   assertTestTargets();
-  await sql`truncate users, tracks, track_links, sessions, follows, connections, now_playing, featured_songs restart identity cascade`;
+  await sql`truncate users, tracks, track_links, sessions, follows, connections, now_playing, featured_songs, listens restart identity cascade`;
   await redis.flushdb();
 }