My first guitar string just snapped and I lost the pin. My pins look different from standard pins I see online. Please help me figure this out. - eviltoast

My first guitar string snapped and it launched a small circular pin somewhere. I looked up how to restring guitar strings and other peoples stringboard look different than how mine is set up. the pins I have aren’t long and straight they are small circular things fitted into a small hole in the wood. What are these kinds of pins called? Can I upgrade to standard guitar pins?