I had to repour my automatic bay a couple years ago. I used fiber in the concrete and the floor heat has no issues.OP
I have never poured any concrete with floor heat but I have poured many caps on existing concrete some as thin as 2 inches most were 4 inches and all held up well. It is my experience that the extra thickness and the grout that settles in the cracks from the new pour stabilizes the broken concrete underneath. That being said none of these were car washes but most had heavy truck and trailer use(not semi tractor and trailer). I am not sure if you can use fiber in the concrete with floor heat but if you can I would pour the first 2 inches with fiber and the top without for a smoother finish.