> I live in the Czech Republic ....build a website without identifying yourself

I am not familiar with Czech Republic law but out of curiosity I asked an LLM:

     § 435 of the Civil Code (Act no. 89/2012 Coll.)
     The law explicitly says every podnikatel (entrepreneur/business) must include on all business documents and on information made publicly available through remote access (i.e. their website):
     - the company's name (firma),
     - its registered seat (sídlo) or place of business,
     - its identification number (IČO) — the Czech equivalent of a company registration number,
     - and if registered in the Commercial Register (obchodní rejstřík), the registration details including the file reference and section/insert (spisová značka, oddíl, vložka).
    This is the summary provisions that was previously found in § 13a of the old Commercial Code (obchodní zákoník) and is now codified in the Civil Code.
    Consumer Protection Act (Act no. 634/1992 Coll.) — adds requirements when you sell to consumers online: business's name and address, ADR (out-of-court dispute resolution) body information, delivery/payment terms, and — for online marketplaces — how offers are ranked, etc.

I then did a quick Google to attempt to validate the LLM and it seems this is indeed true, I found https://www.zakonyprolidi.cz/cs/2012-89 and putting it through Google Translate, §435 is pretty clear that publication of name and address is required.