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Seconding Bathos.
See also Dramedy, a work that is both serious drama and absurd comedy, which maxes out the bathos by grounding things out at "totally serious" at least some of the time. M*A*S*H is one of the major Trope Makers, contrasting an unflinching portrayal of life in a frontline medical station with the wacky Gallows Humor antics of the staff as they slowly lose their grip on sanity.
Edited by Scorpion451
There's also Comical Overreacting.
Narm when this is done unintentionally.
The moments in a work where there's drama, but it's clearly exaggerated or played with a comedic twist that it's meant to be funny.
What would it be?