I had the same dilemma years ago as people have different accounts. I looked at the AA website for the list and Thailand was there so I just followed that. The only person pleased to see my IDP was the transport office when I first got a Thai licence. I don’t remember car rental companies seeming to care.
I think the correct answer is you also need an IDP. Then after 90 days you need a Thai License. But hey! this is Thailand and I wouldn’t worry about it too much. RTP never asked me for an IDP and were happy to see my U.K. license.
Go to a main branch with a manager. You don’t need a work permit. The average clerk will refuse you as they have never done it before and don’t know how. They don’t want to risk getting in trouble. I did mine years ago at Bangkok Bank with just a passport and my GF to vouch for me. All done in 30mins. Card, internet banking, mobile app everything.
O-A has slightly different application criteria such as health insurance. But if multi-entry you get a one year stamp each time you visit the kingdom during the length the O-A is valid. This mean you can have two years of stay out of an O-A.
Look at the district details of what is required. You are still travelling from a red zone. For Mukdahan that means home isolation ans a COVID test. Off to the hospital if positive.