How to find a replacement for missing screw

My niece just started playing clarinet, and she has lost a screw. I took the same screw out of one of my old clarinets that is in need of repair, but the screw doesn’t fit. It’s missing from the bottom of the key you use to play B on the staff. I’m assuming that not all screws are interchangeable since mine didn’t work. She has a plastic Bundy (I’m not sure on the age). Can anyone point me in the direction I should look to fix this for her? I attached a photo for reference.
 

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