Family wedding

My fiance's cousin (whom he isn't really close to) got engaged. His parents got an invite which said it was for 2 people (his parents) and my fiance thought he wasn't invited which is fine. His cousins wedding is now 2 weeks away. Recently we had lunch with one of his aunt's and we were asked where we would be staying (wedding is 2 hrs away from his home) so we said we were not invited. So that aunt went told her sister (cousins mom) and then the bride went ahead and text messaged my future in laws stating my fiance was invited all along and wanted to know if he was coming and that she made a "mistake" when sending out invites. Are we obligated to invite them to our wedding? I mean bride didn't reach out to my fiance and he is a grown up to even try to talk to him directly and instead tip toed with my future mother in law (whos an angel and dislikes conflict lol) To us it's like yeah right now we got a pitty invite lol because they got caught? Lol Also, they invite my fiance alone knowing he's engaged? To us it works out as now we don't feel obligated to invite them either lol but the gesture to me was like whatever 🙄 lol what do you ladies think?