Purely in the name of research (OK we needed some non-food stuff) I visited our local Lotus's's's (which is on the list).
I spoke to the security chap and pretty lady on Customer Service.
Between their (actually half decent) English and my (pretty useless) Thai we concluded that: -
Dogs need to be in the basket or a stroller.
They are OK in the home and wear areas but cannot go into the area with fresh foods.
It was unclear about the packaged foods areas.
"No-dogs" signs were not in evidence at any of the food outlets, but it was still early and few were actually open.
Well, we've had some rain, and the river is rising, nowhere worrying yet but the village is "a bit damp".
High tide at Pak Kret, still well in the green, we worry when it reaches the top of the concrete beam.
That looks soooo like the high-performance model gliders I used to fly in my (relative) youth. If only we'd had the PV and battery tech that we have now ...