Burgemin's Kamiwaza ability is to make burgers. As a Bugmin, he can trap anyone in a burger.
In the series
Burgemin was one of the Promins who got captured as Bugmins and debugged by Wanda prior to the beginning of the series.
In episode 9, Burgemin was one of the Promins who got kidnapped by Bug-Liftmin. He got rebugged in episode 10. Later, Bug-Burgemin traps Nicole in a burger but was then recaptured and debugged by Yuto.
In episode 44, along with Sharimin, Burgemin was kidnapped then thrown into the strange closet by Bug-Katasumin and Burgemin was rebugged again. Bug-Burgemin was then recaptured and debugged in episode 45.