Currently seems to be... 4 or even 5 different paths
Vanilla - No cheating by you or GF. You're using the safe phrase as often as possible, and Cornell is the one getting cockblocked.
Sharing - hinted at, and definitely likely once Jasmine tells Cornell that she knows, and maybe starts manipulating things herself. Cornell already shares, and has no problems with what Jasmine is doing.
Open Relationship - GF and Cornell, You and Jasmine,... sexy games and dares make everyone more comfortable doing this. At least the GF asks permission before she does anything
Cuckold - you encouraging gf to indulge herself, and you watching, or you allowing Cornell to seduce gf, with or without her consent.
Revenge - GF taking advantage of Cornell, or allowing herself to be seduced BECAUSE she saw you with Jasmine.
Theres no GF Cheating path exactly, because either shes caught you cheating first, or you've given encouragement and consent to proceed. Even when she is going to have sex with cornell, shes asking permission. However,.. who knows how the game will proceed with the MC smothering the GF, restricting everything based upon unfounded suspicions, and spying on her with a spycam. This uncertainty actually is a bonus
This shows there are more mechanics in play than simply "corruption" and that players need to save often, and see the subtle differences in clothing, facial expressions, poses and dialogue as a result. It just seems that a lot of players are making some of the same choices because theres sex scenes, without realizing that they are literally like bait, and then complaining that the game has gone shit.