My guess. 1 Jul announcement Amnesty ends 2359 31 Jul. You either need to be out of the country by then or within Thai borders with a valid and current visa and/or extension. Means find a flight now, and there are 3 or so every few days back to Europe. Visa extensions granted after 31 Jul will not be entertain caused the flight was too expensive, your inconvenienced in your home country, medical is better here. All those excuses won't wash after 31 Jul. Asylum? Try claiming that upon entry not after being here 3 months, dun work that way.
Here's a kicker. One can't even prove when they left the USA. There's no outbound immigration check/process conducted by HS/ICE and annotated in your passport. Crazy eh? Course you have boarding pass ticket stub that I'm sure will convince TH immigration!