If I was Jazz, I wouldn't do it to just maximize chances for coop, but in case if Jazz is planning to tank more than one season, would make sense to trade Lauri. As I stated in another thread, in the possibility if Jazz tanking two more seasons, it might mean Lauri won't see playoffs earlier than on his tenth season in the league. It's also open at that point, what have tanking done both his mental space and actual game play development surrounded by players on rookie deals.
But, if Lauri re-negotiates this summer, I don't think Jazz has too much hurry, bc he will probably have good trade value for years to come unless big injury comes into play. If I was Lauri,though, I'd take a financial gamble for the sake of competitiveness, and only re-sign with Jazz, if they are in a buy mode in the summer of 2025. Or if I was him, and would re-negotiate this summer, I'd ask trade clause in return if giving discount on the contract, in case of Jazz not making at least play-ins in 2025-26