Do i also invite my biological father’s new step kids?

Hello, I’m not really sure if I have to or should.


I am not close to my biological father, I haven’t seen him for over 10 years. He lives in California and I’m in NY. He remarried to his 3rd wife in 2018 or 2019, I’m not sure because I wasn’t invited or informed lol anyway, his 3rd wife has children of her own and around the same ages as my half siblings. My half siblings are from my biological father and stepmom (his 2nd marriage). I am actually pretty close to this stepmom and my half siblings. They are definitely getting invited to my wedding.
I have also decided to extend an invite to my biological father and give him a plus one to bring his new wife. I am not sure if I should also invite his new step kids? I don’t even know their names. But since they are children and teenagers and the same age as my half siblings I’m conflicted... would his new wife take offense if I don’t invite her kids whom I’ve never even met? Should I invite them and hope they don’t come? They would have to fly across the country so maybe that’s enough to dissuade them?
Note: his new wife has tried to reach out to me since they married. I didn’t reply to her because she sent me one of those “Send this to the next 10 people if you want good luck” chain letters and felt it was impersonal as a first message to receive from her.
I don’t know what other information I should include about the situation...