Well first it is very important not too feed for two weeks even if its is a young animal, if you do not and the animal regurgitate again, it can lead to death.
Now I will address what are the possible cause of regurgitation.
Stress
Improper temps
Internal parasites
Right now wait two weeks feed again and if this happens again take the animal to a vet and have a fecal done.
In the meantime there are a lot of things going on here with your setup that are wrong as well as the way you feed.
First you do not feed in another tub or enclosure, that's for 2 reasons, first it can cause enough stress that the animal would fail to eat (especially with BP), second as snake is in feeding mode hours before to hours after being fed, putting you are great risk to get tagged.
Do you know what the core temps of you BP was inside the tub that was inside the enclosure? If it was not in the mid 80's this could very well be your issue.
Second your temperatures they are all out of whack and this will lead to issue BP's needs have to be met to a T unlike other species they are not very forgiven when it comes to husbandry issue not too mention that right now you are not meeting those needs at all.
Your temps MUST be as stable as possible with a fluctuation of 1 or 2 degrees at the most.
Proper temps on the cool size MUST be over 75 (ideally 76/78)77/71 cool
Proper temps on the warm side should be around 86/88, 96 is WAY TOO HOT for this species96/88 warm
A thermostat control the temps a thermometer reads the temps so which one do you have???the thermostat gave me a reading of 102 degrees.
If your temps are 102 you are getting to have an animal at risk for neurological issues.
What type of thermometer do you have digital of analogue gauges?
DO you have a thermostat?