Tragedy
Tragedy. Tragedy. Crazy crazy ultra-sad, hero-loses-it-all, love-is-dead tragedy.
Even though Medvedenko misuses words to comic effect, and Sorin has silly verbal tics, this play is bleaksauce. Although there's plenty of opportunity to laugh in the Act 1 presentation of Konstantin's play (both at his earnestness and at his mother's callousness), this play goes so bad so quickly that we can't even give it the label of "tragicomedy."
So why is this a tragedy? It's just that the ruin of Konstantin and Nina is so total. Nina loses her child and her mind, and for what? For love for a no-good writer and the pursuit of mediocrity. Konstantin remains similarly committed to a hopeless cause, has no true love in his life, and ends it with a gunshot.