Should I give up on my dad?

My dad (m60s) went to the store for the milk when I (f24) was 7. Turns out the milk was actually a blonde on the other side of the country. (He had an affair pretending it was business trips while draining my parents savings and leaving my mom, sister and I out to dry)

He kept in contact a little after the divorce but then faded into nonexistence for years. At 21 I reached out and we reconnected and I got to go see him twice since then. I really want some resemblance of a connection with my dad as he is SO much like me. I'm not close with my mom and dang it I want atleast one parent to talk to. I don't want money and have never mentioned the 80k plus in childsupport he owes my mom even when he drives a really expensive car and lives a bougie life. I just want to know my dad. I want to tell my future kids when they take an interest in certain hobbies "that's just like grandad." I want him to be at my wedding, not that he even knows the name of the man I'm going to marry.

We talked about once a month for less than an hour and it felt like every convo slowly shifted to his bragging about his son (my half brother) or his nice life he is living. The questions about me were superficial. Then when I told my dad I left a DV relationship (not asking for help, I don't want it) he told me "you sure know how to pick them."

After that, he made a fb post about my sister's bday (he hasn't talked to her in16 years she wants 0 contact)I told him it upset me that he posted something like that. He said "ouch." I didn't call or text him again after that and he's been silent for months now. I wasn't mean in my text I just said "hey it's hurtful to read you make a post about my sisters birthday because you post about her but haven't reached out to her nor even wished her a happy birthday through me."

Sure "the phone works both ways" but I've heard that since I was 7 and back then I'd call and call and get nothing. I used to sit by the mailbox holding the home phone for weeks waiting for a call or card on my birthday. This feels like I'm 7 years old all again.

I'm so proud of my life and I want to tell my dad I made it. More than anything I want to tell him how much like him I am. How I love music and art and animals, but I just wish he would reach back out. I would even love to get to know my half brother, because I have a feeling we have so much in common and even if we don't, blood is suppose to mean something right?

Does my dad love me and just is too busy? Or was that year of good contact just so he could tell his yuppy friends "look how great of a dad I am" by having pictures for his fb?

I used to think the distance in my childhood was because he hated my mom, but now that I'm an adult and there's no one between my dad and I, I really thought it would be different. My therapist told me to write him a letter. But every draft I've written turns into "hey dad I want you as a dad, I'm angry" and I know that i had my chance to be angry when we had our first sit down and I couldn't get my angry out, I just sat across from this man with my eyes and I let all fo the past go.

So reddit, what do you think? Does my dad think about me, or is he too busy? Does he "deserve" another chance to get to know me, my sister says everytime i give him a life update it is rewarding him for never being there? Or is it time to give up and stop yearning for a parent?

Update/edit: for those saying call my mom, love my mom, there's a whole other layer of suck there. Yes I have thanked my mom. This isn't about her.