Hamlet had comedic elements. The Diary of Anne Frank, had comedic elements. Having comedic elements does not make it a comedy.
Similarly though, being a comedic work doesn't mean you can't deal with deadly serious issues and have dramatic scenes. A work can have a range.

If your suggestion to beef up conflict is just for people to die more, that doesn't really interact with the ongoing thrust of the story. That's like being in the middle of Waiting for Godot, and somebody goes "Wait, not enough high stakes conflict! Bring on the rocket launchers!"