P2P lobby invites appear as rich session cards instead of a plain line with a link.
What the Card Shows
A card names who created the session and walks through its lifecycle on a small timeline: when it was created, when it connected, and — once it is over — when it ended, how long it ran, and why it closed.
Live vs. Finished
While a session is still live the card offers a button — Join or Open lobby for P2P. Once the session has finished the card shows its final state and drops the button.
Notes
If a session can no longer be found (for example, an old invite whose session was purged), the card falls back to the plain join link.
