Long post, but I'll give a short answer.
1. Your husbandry is off and that's probably why your BP regurgitated.
Hot side - 86-89F
Ambient - 80-84F
Cool side - 78-80F
ALL HEATING ELEMENTS MUST BE CONTROLLED BY A THERMOSTAT.
From what I can see, your hot spot is too hot and the cool side too cool for your BP digest properly. Your BP had to choose and choose too cool over too hot.
2. You are feeding the wrong prey item.
See below - you should be feeding mouse hoppers at least.
3. You need to wait to feed for 3 weeks. That's a long time for a snake that small that's already been fed the wrong food, but you don't really have a choice. You must wait that long for your BP to heal and be able to process another meal.
In the meantime, get your husbandry correct.
There's always a possibility that something is wrong with the BP, but 90% of the time, regurgitation occurs due to poor husbandry or too large a meal. The latter doesn't seem to be the case here.
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