Would you fight or break it off?

would you stay and fight for your relationship or would you call quits and move on...

the other day I saw my husband letting some lady kissing him and he didn't stop her or back away either, I don't know whether to fight for the man I love or the man that cheated on me , even though we been married for about 3 years now and have a 4 year old daughter and a 3 week old baby as well.
I havnt seen him since yesterday when he kissed some girl at the coffee shop.

if I broke it off with him , than ill have to file for a divorce and have to attend court and make it complicated , plus I don't know if I can move on from him or even if anyone will want to date me if I have 2 kids , and will have to share the kids with the baby father as well and have to drop them off every other week. I still do love him but don't know if I can move on from this
Would you fight or break it off?
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