If you choose to stop Tyson from hitting on Emily at the party and take her home, Tyson then tells Jasmine that Emily spent the night with MC. MC can confront Tyson about it, and gets some choices how to react -- some of them keeping MC confident that Jasmine wouldn't believe those rumors, and some options having the opposite effect.At this moment i doubt Jasmine will ever do anything with Tyson, I did every point i could get with Emily, I did do everything to have his domination below zero, yet I ended up still getting Jasmine to 100 love while Emily 127 love and all they do is gossip about Tyson but isn't interested in more as she content with the mc's dick. The only ntr paths i found is Jasmine with Reginald as photographer perv and Emily with Tyson.
I imagine in the latter case there's a possibility Tyson can successfully cause a rift and draw Jasmine's interest to himself, but that's something that might happen later in the game, not when there's potentially two different NTR/NTS routes taking place already.