I agree with the above 100%
In addition it's also important to figure out WHY the animal regurged.
Aside from illness, the other likely reasons a snake might regurge are: temps are off, stress or too large a meal.
So let's examine those.
Your temps are kinda all over the place, which makes me wonder if your heat sources are regulated by a thermostat???
You want to keep those temps above 75, 78-80 is your target cool side temp. You should be aiming for 87-89 for a hot spot.
Getting those temps regulated and stable should be priority number one.
Now onto stress/handling...
You said you're not handling for 2 days after feeding, which is good. However, it's important to let your new snake settle in. I always advise no handling until the animal has eaten 3 consecutive meals without refusal.
I don't think handling is to blame for this regurge, but it's important to hold off on handling for a while now. NO HANDLING until the snake has eaten 3 consecutive meals without refusal and has held them all down. So NO HANDLING for AT LEAST 6 weeks.
Finally, prey size....
How much does the snake weigh? You said you fed a small mouse and a fuzzy. What did they weigh? Why add the fuzzy? Adding a second prey item may have made digesting more difficult? But without knowing the weight of the snake or the prey I can't say for sure.
The more we know the more we can help you and your snake.