Wobbling like unbalanced tires, but it's not

Thanks for everyone’s input. I’m hoping for a little more if possible. I called the tire shop and asked about “road force balancing” as “the same mountain bike” suggested… they do have that machine available, but while discussing the problem with them… the guy said it’s pretty much impossible to bend the rim while changing the tires out. Since a few of you have stated otherwise, I’m hoping to get some more input on this possibility. This whole problem started after they changed the tires so I’m inclined to believe that yes, they did do something when swapping tires, but the more info I have, the more confident I can be in challenging the tire shop.