How much tyre wiggle is acceptable?

I’m hoping to get some advice. I bought a bike that was originally set up tubeless. A while back, I removed the sealant and put in an inner tube because I didn’t want to deal with tubeless maintenance. After a few months, I decided to switch back to tubeless after getting a puncture.

When I went to reinstall the tires tubeless, I had a really hard time getting them on and off the rims (they’re hookless). I ended up having to use a tire lever to get them back on. I used a bit of soapy water to help seat the beads, and once they were on, I pulled the valve core, added sealant, and pumped them up.

The tires seated fine and hold air, but when I spin the wheel, I notice a small wobble. The sidewalls look even all the way around, so it doesn’t look like the tire is seated unevenly, but the wobble has me worried.

Could I have damaged the bead by using tire levers to get them on? Should I take it to a shop to get checked out, or is a little wobble normal?

Thanks in advance for any insight!