You can't let him get to UFA. Right now would be selling low, so unless another team wows TB with a surprising offer, I can't imagine BriseBois basically taking an L on this trade so soon. If you believe in the player enough to trade so many assets for him, I'd be surprised if he doesn't get a chance to bounce back, if even for the purpose of increasing his trade value.
After all, Jeannot hasn't even played a full season's worth of games for TB, while suffering 2 significant injuries during his tenure. He should have all the motivation in the world as he enters a contract year. 2.665 is not a bad contract for what he brings when healthy, and I thought he showed that in the first quarter/third of the 23/24 season prior to getting hurt. Multiple long(ish) term LBIs will have a huge effect on any player of his ilk.
Personally, I think you bank on Jeannot to perform better in a contract year and dare I say, consider an extension as soon as it becomes an option. If he has a strong start to 24-25, you're basically forced to trade him mid-season (which seems more likely than doing it now), because TB almost certainly wouldn't be able to compete in a bidding war when he hits the market.
It's also possible that he and/or his agent are looking for a team that can give him greater opportunity to achieve a nice contract, can't rule that out.