Caught my girlfriend (25f) cheating on me with an older man. I am planning on ghosting her.

I have been with my girlfriend for the last 1.5 years and a few weeks ago I opened her old laptop to find a throwaway email account which she has been using to communicate with this older guy. Explicit photos were shared and there was a brief video of them having sex. From what I can tell this seems to have started 2 months ago.
I was devastated and heart broken. I still can't believe how she could look me in the eye every day and tell me she loves me while ****ing this other guy. Luckily for me the next day I had to go out of town for a week long work commitment. I left without confronting her so she still doesn't know I know.
I spent the majority of the first day or if town crying and essentially mourning my relationship. I called my close friend and talked all night. Strangely after that I was completely okay and overnight I lost all the love I had for her. Even now when she calls me to check up, I am constantly annoyed and try to find ways to end the conversation. She know something is up but I just blamed it on my work. Also I am pretty sure she is using my absence to have a good time with her cheating partner. I am currently extending my stay by another week to figure out things.
Anyway I was thinking yesterday and I feel like just ghosting her. She moved in with me last month and my lease will be up next month. I could just pay the landlord the rent for the next month (I have a well paying job and it won't incur any major loss) and move without telling her. My company has a branch in New York City and I could request to move there which is totally doable. Except her and the job there was nothing for me in the current City I live in anyway. We don't have any major shared finances and the rest of the details like furniture etc are minor things that I could ask a local friend to sell it for me for a cut of the profit.
The more I think about this I am convinced I could easily do it. I don't know how she'll feel, I mean if she was cheating on me I don't think she cared much about me in the first place. What do you guys think? Is it too harsh?
PS: relatively new to Dating.mobi so excuse any errors made. Also minor unimportant details have been changed.
Tldr: caught my girlfrind(25f) cheating. Planning on ghosting her. Thoughts?


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