[aragonite]

Right. Bittersweet is about something that affects you personally, some experience that blends joy and sadness. Tragicomic is about some external going-on that you observe and react to like an audience member.

There's also the laugh-cry emoji, which can be used for both situations, I think.

[tuukkah]

There is no laughing and crying emoji: there are two emojis about laughing so hard that tears come out of your eyes (no sadness implied).

For bittersweet, there's one about smiling with a tear.

For tragicomic, I don't know. It's not a feeling. Maybe the upside-down smiley or the smile with sweatdrop?