Legally speaking, it is necessary to put on record, because it is also a business and has a business license. According to relevant regulations, it is necessary to go to the public security department or other relevant departments for filing. But now some designated lettering shops will run more by themselves and will act as agents for filing. In this case, I remember that the legal person needs to issue a power of attorney and press the fingerprint. Anyway, it is good to pay a little more for yourself.
If it's okay for individuals to carve private seals, that's fine. Private seals have no legal effect and do not have the effect of replacing signatures and handprints. In order to have legal effect, the private seal has to go through the public security bureau for the record, and the notary office seems to be ok.