You aren’t broken. It sounds like a broken man raised you.
I grew up without a father; no positive male influence. It took me a long time to reach a point where I could accept it wasn’t me that was broken, it was the negative thought cycle I was habitually stuck in.
Taking a step back and seeing the good in the world, the small moments, for what they are (which I think you are doing?) Rather than viewing positive moments as a reflection of my own negativity, I am learning to view these positive moments as positive. Realisations of what I didn’t have but knowing I am living my life better than the ones that came before me.
A deeply personal anecdote - I am an alcoholic. I’ve been in AA for a while now, and have been sober for that time. I’ve grown and moved on from needing alcohol to feel normal.
My fathers side of the family, including him when he was alive, are unrepentant alcoholics. I don’t feel bitter or hateful anymore - instead I see it as being the only one in that family tree to actually break out of that cycle.
I have needed to spend a lot of time in therapy to help me reach this point.