Again, not true. If OP were near me, I can do a battery replacement on iPhone 13 and older models for $50. The part costs me $26 and it takes me about 40 minutes labor, so I’m doing it for a very reasonable price and providing a service at a cost that barely keeps me operating. There are plenty of shops like mine. Key word i said was “reputable” shop.
You are quite opinionated but uneducated on the subject.
Why didn’t you get the SE3 if you feel so strongly about that size and home button retention?