i don’t want to lose him

my boyfriend and i would have been together 3 years next month. i dropped out of university last year because i was falling into a depression. he told me he began to feel distant between but he never wanted to speak up about it because of my mental health. we lived together to two years and i broke up with him last month because i caught him in a lie and now he’s already seeing someone else. he told me that we should take a break for a couple months to grow since we’ve been together since we got to college but i dont and think he actually meant that. should i speak up and fight for our relationship because i love him and he’s my best friend.