You want a Nostr project idea for Bolt.fun tournament?
Create a server that observes events destined to a pubkey (notifications, DM, answers, etc) and send a notification to telegram/discord/any other configured services saying "You got a new DM from XXX" or "XXX answered you: *message content*" etc.
It can be a SAAS or a self host service (but please, make it easy to host)