tim plugin, chat bot sync notifications, test fixes

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

relay/inc/bootstrap.php

@@ -189,6 +189,12 @@ $chatColNames = array_column($chatCols, 'name');
 if (!in_array('seen', $chatColNames)) {
     $db->exec('ALTER TABLE chat_messages ADD COLUMN seen INTEGER NOT NULL DEFAULT 0');
 }
+// Bot notifications: automated sync confirmations ("alice synced: My Card").
+// `bot` column = 1 means the UI renders it as a system notification in the
+// orange accent color instead of a regular chat bubble.
+if (!in_array('bot', $chatColNames)) {
+    $db->exec('ALTER TABLE chat_messages ADD COLUMN bot INTEGER NOT NULL DEFAULT 0');
+}
 $db->exec('CREATE INDEX IF NOT EXISTS idx_chat_sender_state ON chat_messages(sender_id, id)');
 
 // Collaborative buckets: shared among multiple tenants. Each bucket has one