I know OP already decided to go through, but I'd line to give my thoughts anyway:
I got mine early 20s, after a few years of dental visits where they said 'well it's fine now but it may cause issues later', until one year they very strongly recommended it, and I can't remember the specifics, but it was enough to convince me.
To note, I never noticed their existence, and I don't miss them now (I had 3 removed, I guess one was stolen from me as a fetus or some shit)
If you're unsure, a second opinion is a good choice, it may give you peace of mind. Did your dentist show you xrays and explain why they thought you need them out? If not, ask.
As for the actual procedure, I stressed myself out a lot by looking up horror stories and all that, but it turned out totally fine. I *think* I was asked not to eat or drink for a while before.
I arrived, the assistant asked me if I wanted any music playing and I immediately put on my cringe anime music youtube playlist, and I passed out listening to that.
I dunno what kind of drugs they gave me, I breathed it in, and passing out may not have been the goal, but I only woke up as it was over.
Another tidbit: I was prescribed antibiotics, ibuprofen, and acetaminophen, irrc, and originally it was gonna be pills but I asked and liquid versions were available.
For the recovery, it was a lot of mashed potatoes, blended stews, etc. I tried really hard to avoid 'dry socket' and overall it was without incident.
Went into a bit of autistic detail to maybe give an idea of the process, and because I'm... (insert my username here)
Hope yours goes well.