I didn't see in the post that the type of prey was stated for mouse vs rat, so want to add that it is specifically MOUSE fuzzies are too small. Rat fuzzies are appropriate for a young BP, so if OP means rat fuzzies then it is likely fine for a 2 month old snake. (You can weigh the snake and prey using a kitchen scale, generally folks use grams, to confirm it is a good size. You want the prey to be about 10% of the snake's body weight.)
Adding the feeding chart for reference for OP.
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