A comedy that includes satirical elements.

There are several possible meanings of “comedy”. To be definite, here is the one that appeared first when I used Google to search “comedy definition”: It gives “noun — a play, movie, television program, novel, etc., that is meant to make people laugh”

And “satirical definition” yields “adjective — containing or using satire”

So satirical comedy is noun — a play, movie, television program, novel, etc., containing or using satire, that is meant to make people laugh.

If you need a definition of ‘satire” you might use (again from Google) “noun — the use of humor, irony, exaggeration, or ridicule to expose and criticize people’s stupidity or vices, particularly in the context of contemporary politics and other topical issues”