Feat: bot failed state to show/hide llm restart btn

migrations/001_initial_schema.up.sql

@@ -13,6 +13,7 @@ CREATE TABLE rooms (
     mime_done BOOLEAN NOT NULL DEFAULT FALSE,
     is_running BOOLEAN NOT NULL DEFAULT FALSE,
     is_over BOOLEAN NOT NULL DEFAULT FALSE,
+    bot_failed BOOLEAN NOT NULL DEFAULT FALSE,
     team_won TEXT NOT NULL DEFAULT '',
     room_link TEXT NOT NULL DEFAULT ''
 );