There is something called a 'certificate of residence' which you will require to register a new vehicle in your name (a car for example), a slightly different one for opening a bank account and another one that's required to get a drivers license.
I've done all 3 of the above multiple times over the years - it's always in Thai and simply proves to the bank, car registration people or drivers license people where you live.
Now when it comes to proving your Thai address this is what I did - and it does work.
You open a bank account using one of the above︀ 'certificate of residences' which may or may not be available to you depending on your︁ visa type - I have an Elite visa - had one for about a decade︂ now and am currently on the 20 year membership extension.
If you've been in Thailand︃ for a while they will issue these 'certificate of residence' printouts in Thai but in︄ the past they wanted you to be on a non tourist visa - but I︅ know people who bought cars and houses, etc with minimal documentation so they must have︆ got this document.
It is cheap (should be free). Anyway - my point - open︇ a bank account using one of the above certificates which is just a proof of︈ your address, then tell the bank your address in English.
Then once your address is︉ in English they will print a statement for you - from a legitimate bank like︊ Kasikorn which has your full name and address on it - this can be used︋ for KYC.
I've done it. But the rules are very different in different areas of︌ Thailand - they seem to make them up as they go. I would avoid Bangkok︍ but maybe some agent can help with this. Permanent Residence is not what you're looking︎ for by the sounds of it - you're confused about what is and what isn't️ viable. PR is not what you want, if you want a tax id number and you're a tax resident who sent some money in then you can get one of those as well - I know for some people getting a tax id may be a priority - for example - if you're Russian and having banking issues you can use this tax id once you have it - even if your tax bill on remitted income is very low or zero.