Talk to a dealer about SELLING the lease early. (Yes it is a thing) However, go to Carvana and Carmax (Don’t say its a lease) to get it’s current value.
compare the value to the Buyout amount (Ask MSF for this number) and if it is less than Buyout, then just pay the 2.5 months and walk way.
About the only thing you can do is see if another dealer will take the car in trade with no negative equity, i.e buy you out of the lease at the current payoff value. Mazda may not allow third party buyouts, which is maybe why they said to talk with a dealer. Carvana not giving you close to your payoff is probably an indication you are underwater on the trade.
You may have equity, or just pay the remaining months and the termination fee and walk away. 2-3 months of payments and the termination fee assuming no major damage etc shouldn’t run you that bad. Don’t roll anything over into a new lease it’s just kicking a can down the road.