Am I stupid for not leaving?

I have been with my SO for 10 years we have a 8 year old and a 10 month old together. He got deployed when I was 6 months pregnant. Came home for the birth of our daughter but had to go back after. He was gone for a year and 2 months he just got home an he was acting weird I caulked it up to him reajusting to being home with kids. Something wasnt sitting right my gut was telling me something was off so I looked at his phone. I know bad girlfriend move but thats when I saw that he had proof of his infidelity. We are not married so that whole Adultery thing doesn't apply. Right now with the whole covid stuff I am not working and he pays for everything. I love him but I don't know if the outcome of me forgiving him is because I love him or the fear that I have no money and no where to go with 3 kids. He says he loves me and he's sorry but again not sure if its because he got caught or if he really is. He hasn't even been home a week and he is already talking about redeploying because he wants to do whatever it takes to make money for his family. Is he just running or really wanting to do it? Am I stupid for forgiving him and staying with him?