Although it's ridiculous and a little bloody, it's not impossible, as long as you try your best to believe that you can do it.
First of all, you can find your ex-boyfriend first. After all, you are familiar with him. Of course, after explaining the whole thing to him, you have to explain to him that you really didn't do it for him to destroy his current feelings. Not only that, you have to explain to him that you are really eager to be friends with his current girlfriend, and you have to constantly praise him for how good he is and how suitable he is to be your friend. In this way, maybe he will let down his guard against you and feel particularly happy that his current job is so excellent and enviable, and you can get along so well, so naturally he will introduce his girlfriend to you and agree that you will become friends.
Secondly, if you really can't convince your ex-boyfriend, you can go directly to his girlfriend and tell her your attitude. You really don't want to take this opportunity to hook up with her boyfriend again, nor do you want to frame her for all kinds of bad tricks. It's because you really like her and think she has enviable charm and characteristics that you want to be friends with her. Maybe she will agree to try it with you. Of course, a large part of this possibility will not succeed. I believe that no sister will be willing to take such risks to treat you as a good friend. You don't mind my feelings with my boyfriend, but I do. After all, you are his ex-girlfriend. You can't kill two tigers in one mountain, even if you are my friend. It's hard to guarantee that you won't move any crooked thoughts.
In the end, there is really no way to see if you can succeed by borrowing the help of your good friends. Although the success rate is really small, maybe it will do.