Hi I'm in a LTR and in a different country for a few months. she's completely docile and lovely (0 partners) but I really wished I had been non-monogamous but before I could get out my friend group grew around me and her so I can't get out of it.

Basically I am not going to breakup because I will not lose my friends but is there a way to persuade my gf to be ok with me sleeping around while I'm away from home. I'm asking this because I'm not ok with cheating since it'll kill me inside slowly and just staying here alone makes me stifled and I'm sick of being so self-restrained and dry around girls. it feels like I'm just going to revert back to my beta days and then just repulse my gf when I get back

anyways one approach I was thinking was to blunting texting her "you ok if I sleep around just physically" but it sounds bad no matter how I see it

any advice will be appreciated

tl;dr failed exclusivity talk, can't get out without damaging friendships, wondering if there's any other options besides cheating, thanks for advice