I'll probably take a lot of flack for this post, but here I go.....
1) being the other man for only one month is not enough time to get her to commit to you.
2) it doesn't matter the circumstances, if a woman dumps you, go no contact and date other girls immediately. Don't look back. If she comes back, let her know you are dating and make her figure out how to get you back
3) Gentleman, shaming is a female'a strategy. To employ it here is kind of validating feminism.
4) I think the only way to get a married woman long term is if both parties are married and are looking for exit affairs. This happens more than you think. But it has to be very specific circumstances. But most of the times it ends in disaster for the other man.
5) All that being said, I did it and we're getting married. But it was unique circumstances. Husband had a very bad mental illness that had been worsening for years and refused any treatment. His wife met me, the chemistry was off the chart and we exited as soon as we could. She did break up with me at one point and I dated immediately. Six months later she begged me to get back with her. A lot of drama and fallout, but I'm getting a girl with a very low partner count, was faithful for 17 years in her previous relationship and because of her ex husband'a mental illness, I actually became her high score guy as he hated touching her. I'm the first guy she ever spooned. True story. She comes from a strong religious background and has good morals. For me, it's worth it. No regrets. Life is short, we need to admit when a relationship is dead and move on. Also, for the situation to work, I was good friends with her sister for years, so I was vetted and knew all about her before I even met her.
6) in conclusion, while the other man can get the girl, the odds are really against him. And there will be fallout. But honestly, my fiancé is a million times better than those online girls who never married and don't want to marry, and want a beach house. I hate the beach!