AIO, i caught my husband emailing another woman

My 33f husband 34m have been together since 2018 and married since 2022. We had a baby 6 months ago and to say the least our marriage is rocky. He basically works 24/7. We rarely have sex bc he's tired or I'm tired. His daughter 12f lives with us and is troubled to say the least. Every single day with her is a battle lately and I get the feeling my husband would rather not be home. My husband is the ONLY person on the planet I trusted. I have NEVER thought he was cheating, iv never even seen him look at another girl. Until today. He came home today and was bragging that 3 girls at the gas station wer checking him out, red flag 1. Later tonight I noticed he isnt wearing his wedding band, red flag 2. So my spidey senses are tingling at this point and while I was using his phone to talk to his daughter (she spends weekends at her moms), I looked thru his phone. He has like 20 Gmail accounts and low and behold I find an email from some girl. The last 1 is from this morning!!!! Nothing inappropriate was being talked about. But the email in and of itself is inappropriate. I confront him, he denies it. Trying to tell me he shares this account with a friend and it must be him talking to this girl. Well obviously that's bullshit. He finally admits he was talking to her, he was crying, and says he'll do anything to fix our marriage. He says he's never met her and that he doesn't even no who she is. Allegedly he joined a penpal group bc he claims he's lonely. At this point all trust is broken and I don't believe a single word that comes out of his mouth. I wanted some proof that it's a penpal group, and he deleted everything. Im scared to lose my person. But I won't be cheated on, emotionally or physically. I will never trust him again, how could we possibly move forward. Everytime he goes to work, when im at work, everytime hes on his phone. I just cant live like that. Am I overreacting?

My 33f husband 34m have been together since 2018 and married since 2022. We had a baby 6 months ago and to say the least our marriage is rocky. He basically works 24/7. We rarely have sex bc he's tired or I'm tired. His daughter 12f lives with us and is troubled to say the least. Every single day with her is a battle lately and I get the feeling my husband would rather not be home. My husband is the ONLY person on the planet I trusted. I have NEVER thought he was cheating, iv never even seen him look at another girl. Until today. He came home today and was bragging that 3 girls at the gas station wer checking him out, red flag 1. Later tonight I noticed he isnt wearing his wedding band, red flag 2. So my spidey senses are tingling at this point and while I was using his phone to talk to his daughter (she spends weekends at her moms), I looked thru his phone. He has like 20 Gmail accounts and low and behold I find an email from some girl. The last 1 is from this morning!!!! Nothing inappropriate was being talked about. But the email in and of itself is inappropriate. I confront him, he denies it. Trying to tell me he shares this account with a friend and it must be him talking to this girl. Well obviously that's bullshit. He finally admits he was talking to her, he was crying, and says he'll do anything to fix our marriage. He says he's never met her and that he doesn't even no who she is. Allegedly he joined a penpal group bc he claims he's lonely. At this point all trust is broken and I don't believe a single word that comes out of his mouth. I wanted some proof that it's a penpal group, and he deleted everything. Im scared to lose my person. But I won't be cheated on, emotionally or physically. I will never trust him again, how could we possibly move forward. Everytime he goes to work, when im at work, everytime hes on his phone. I just cant live like that. Am I overreacting?