I'm in the same boat actually and been here since around the same date lol.
I think I will travel to Singapore and return after a night and use the fast track vip service
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Still a chance to be questioned but they take your to a counter and run you through (did it about 5 years ago)
The safest as discussed is Laos border run but long and gruelling with an agency.
If you get back through just pursue the Ed or Muay thai visa.