The reason that you bought your watch and the reason that other people buy these hand crafted mechanical watches are very, very different. Once upon a time, utility used to be what necessitated an accurate movement, and it came at great cost because of the skill, knowledge, precision, and artistic talent needed to make one; this justified further embellishing the movement with a beautiful case and band because it would be in poor taste to make something that is both expensive and ugly when your primary consumers would be aristocrats. Eventually timepieces became commodified as industrialization made their manufacture feasible at a larger scale, and later then the advent of the quartz crystal made mechanical movements functionally obsolete as a means of telling time accurately. Approaching perfect timekeeping in a mechanical movement is not meant to be utilitarian, but rather a practice in artistry. Mechanical watches are jewelry, and jewelry irrationally commands the price that any luxury does because it's a matter of taste and not utility. Nobody buying a Patek Philippe is doing so because they want millisecond accuracy via atmoic clock GPS signals - they buy Seikos for that.

you need AI to tell the time?

Not really. No one wants a Rolex or Omega with ChatGPT in it.