fourgie

As a noun fourgie is

an act of group sex between four people; a foursome.

Theesome is likely misspelled.

Theesome has no English definition.

As a noun fourgie is

an act of group sex between four people; a foursome.

As nouns the difference between fourgie and bourgie

is that fourgie is an act of group sex between four people; a foursome while bourgie is (informal|derogatory) a member of the bourgeoisie.

As an adjective bourgie is

(usually|pejorative) used to describe middle-class values in their attempt to give the semblance of discerning taste.