Complex sentence: Bad Apple preys on this weakness by convincing her that as a representative of Bumblyburg, it is her duty to look her best and spins a web (a trap) in which she claims there are countless beautiful things to improve the mayor's appearance.
Split into simpler sentences: Bad Apple preys on this weakness, convincing her that as a representative of Bumblyburg it is her duty to look her best. She spins a web, a trap, in which she claims there are countless beautiful things to improve the mayor's appearance.