The meaning of my dog stepped on a be refers to and means mock someone when they're playing the victim.
For example with the Johnny Depp Trial the actress was talking about what happened after the altercation — including the now-viral moment, "My dog stepped on a bee."
would have been perfectly boring if it hadn't been for her out-of-place, deeply disgusted expression afterward.
So if someone says to you my dog stepped on a bee they are mocking you or someone for playing the victim.
The creator used lines like “My Amma is going to kill me” and “Biryaniiiiiiii” which rhyme with Amber's “My dog stepped on a bee.”