I always am aware that I might get a Party Invite, a Raise Offer, a Linkshell Invite or any other !? thing happens.
Though, I'm pro to the fact that when something like these happen, something has to notice the player about that, which could be:
  • A Jingle
  • A Pop-up Alert
If you ask me, I'd prefer the jingle. Making it different from every offer/invite could be great.