From the time you mentioned, after landing, you need to first check the queue to see if it's too long. If it is, you should find an immigration officer and explain to them that you have limited time, offer to pay for expedited processing, and then proceed to the domestic flight entrance to get your boarding pass and go through security. Your time is very tight, so after landing, you can also check if there is a special channel for connecting flights. I don't remember seeing one, but that doesn't mean it doesn't exist ? Thailand Q&A
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