Hello and welcome to the forum and the wonderful world of snake keeping!!!
Your BP doesn't look to skinny, but could definitely add some weight.
Unfortunately, pinky mice are not BP food. They are WAY too small. They eat hoppers right out of the egg for their first few meals. Typically only 3-5 meals. And quickly move up to small adult mice.
You'll need to get some appropriately sized prey for your new pet.
There are two general rules of thumb for feeding juvenile BPs.
1) the prey item should be approx 10-15% of the snakes weight.
2) the prey item should be about the same size around as the snake at its widest point. Widest point, not head, not neck, but widest point.
This chart should help:
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