A car dealership did a $5,000 bait & switch on me, is it worth fighting?

TLDR: I signed a contract for a new vehicle; the dealer didn't have it but assured me they could transfer it from a nearby location… I go back the next week to get my new vehicle and the price went up 5 grand from what we agreed to… Is it worth hunting down a lawyer to recover for a bait & switch fraud?

Full story:

Me: I walked in and said, "can you order me a stripped down, base model, 2-door Nissan Frontier from the factory? I'm fine picking it up in a couple months"

Them: "WHY WAIT?? WE CAN SIGN THE DEAL TODAY, GIVE YOU A LOANER, THEN TRANSFER THE EXACT VEHICLE YOU WANT FROM A DEALER IN THE REGION!!"

Me: "Fine." I sign the contract, lock in a price, financing terms, monthly payments, etc…. it's a done deal. Then go back 8 days later:

Them: "IT'S IMPOSSIBLE TO FIND A 2-DOOR FRONTIER!! WE CALLED EVERYONE BETWEEN HERE AND CHICAGO!! THERE AREN'T ANY AROUND!! YOU NEED TO BUY A 4-DOOR PICKUP WE HAVE ON THE LOT!!"

Me: I call the next closest dealership, verify they have 2-door Frontiers and verify Tom Peacock Nissan is lying to me… I start walking out the door and a 'miracle' happens

Them: "I DON'T KNOW HOW BUT WE JUST FOUND A 2-DOOR FRONTIER KING-CAB AND IT WILL BE HERE IN A COUPLE HOURS!! JUST SIGN THIS PAPERWORK!!"

When I got home and compared what I signed the week prior to what was sold to me, the price went up by $5,000.

I don't expect to hit lotto jackpot, I don't want to diss on Tom Peacock Nissan, but they weren't negotiating in good faith, and did a bait-and-switch fraud to me. Should I fight, or just accept that dealers are legendary for fucking-people-over?