I had my second Pfizer jab Yesterday - Central Festival Mall, Pattaya, administered by Bangkok Hospital, Pattaya.
It was quite busy in there but things proceeded smoothly. It took a while for them to produce the vaccination certificate so I was there for maybe two hours altogether. Overall, a good experience.
The certificate has a 13-digit ID number that can be used to access the Mor Prom app. My vaccination record is now on that site - and on my phone, so no need to carry the paper version to get into restaurants, not that anyone seems to be enforcing that requirement, yet. Things may change next month, of course.