Does anyone know what specific type and size of screw head is used on TT/Hasbro beyblades or where I could get a screwdriver that would work on those screws?

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Semicolon

Tri-wing size #3

You can find a tri-wing bit set in various repair tool kits


Proof (Only did this to answer the question):

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Simply a person who likes Beyblades

I recommend this one.I've been using it for over two years and it's been perfect.
https://www.ebay.com/itm/162542714445

I don't recommend getting the ones with a red handle. They're cheaper, but I had one of those and its head wore out and stripped a bunch of my screws.

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Spoiler (Click to View)

This is what we all want, Brad.