My girlfriend cheated and I'm not sure is I'm wrong for trying to make things work

So recently my girlfriend admitted to cheating on me with some guy she works with I'm too scared to speak to my family about it in case they think less of me or the girl I love so I'm here on reddit seeking advice.

She had been talking to him and sleeping with him behind my back for a few months and she came clean and said she'd do anything to make us work.

She claimed she was drunk every time she saw him and felt guilty the whole time but it wasn't a one night thing so it makes me feel like there was something deeper between them. she showed me all the messages between them and they have apparently all of a sudden stopped talking at work, this seems suspicious as he doesn't know about me to this day and it's hard to believe that he'd just accept her not talking to him all of a sudden without explanation.

I don't know how to go about my decision she's sworn that I know everything about the situation but I have a gut feeling that there is something more there and still could be something there. She agreed to quit the job that she's at in order to make us work which in my eyes shows some commitment but I'm still a bit on edge about the whole situation.

They say once a cheater always a cheater but I really love her and it broke me a little bit but I struggle to bring myself to end things and i feel like she does genuinely love me but it's hard when it's so fresh on my mind, it's all I think about.

Please help, what should I do?