Whether or not to invite family

Hello! Sorry for the long post!!
So I am getting married October 2 of this year. And as some background information, I’ve had an on and off relationship with my mom who has some problems including an alcohol problem and making everything about her to get people to feel bad for her. Last New Years a big thing had happened and I decided to cut her off until she gets help. So fast forward to last February, I got engaged. I decided to text her about it just so she doesn’t find out from some family member. A month goes by and she reaches out to me saying she’s in a better place so I decide to give her a chance and we told her we want her at the wedding but if she’s going to be drinking she’s not invited. It all went downhill a week later so I just gave up. So here comes august and she gets engaged which I find out from Facebook. I also found out that she was only going to invite my grandparents and my brother. My grandma (who thinks I’m in the wrong for not talking to my mom and thinks I should help her instead) told me I should reach out and congratulate her. I ended up deciding against it. We still planned on inviting my mom to our wedding (and my mom was aware of this) but she was telling everyone that she’s not going either way. So I end up getting a call from my grandma and a text from my aunt saying that if my mom doesn’t come they aren’t coming because they want to support her (even though the wedding is about me and she’s the one that’s decided not to come)
Fast forward to end of October and I send her a text saying that we are trying to figure out parents outfits and are sending out save the dates and if she could let me know if she plans on coming or not. Never got any reply. We decided to not send her a save the date due to not getting a reply. So Christmas comes around and my sister decided we should invite my mom, so we did and it went well. She didn’t once bring up the wedding or how she didn’t get a save the date (which is unusual for her) but I just didn’t bring it up. So now both my grandma and aunt decided they will come but honestly if they weren’t going to come because of her then I don’t know if they really deserve to come but they are family and they’re my closest extended family and always have been so I don’t really know what to do. And after spending the day with my mom I feel bad for not inviting her but I’m unsure I even want to at this point. My friends and fiancé don’t think I should, but my dad says I should because he doesn’t want me to regret it when she decides to clean up her act. I just don’t really know what to do at this point.