Paxful is operating under the same name. Earlier they had an internal issue where they to shut down the business for a short period of time and a new exchanges in the name of "noones" appeared in the market. It seems this new exchange holds the responsibility of funds before they part ways. You may want to check with them.
But I believe noones was hacked a couple of weeks earlier. So not sure if your fund is still available with them or not. But that's where you can check once.
This issue is another lesson about not using a self-custodial wallet as storage.
Aside from the noone hack, which happened days ago, the chance of OP getting the fund back is slim. I said it because I believe the OP was talking about the Paxful shutdown, which happened years ago, and the platform informed all their users to withdraw their funds before the shutdown date.
From the record, OP was not the only one who lost funds due to the shutdown.