Who is Responsible for Mercutio's Death

I believe that it is Tibalt's fault for Mercutio's death. At the beggining of the scene, Mercutio and Benvolio are talking with each other. Tibalt comes up to them and tries to talk with one of them. This is already Tibalt's fault because he should have not even gone near them. He should have stayed away, but because of his ego and confidence, he went to go talk to Mercutio. Once he saw that Mercutio was going to pick a fight, Tibalt should have left but instead he let Mercutio talk and started to fight when Romeo showed up. Not only did Tibalt initiate a conversation, but he also was the one who killed Mercutio. He actually stabbed him which puts all of the blame on Tibalt.
Romeo asked Tibalt to leave Mercutio alone, but Tibalt did not listen. Romeo was trying to separate the fight but it did not work. I also feel like it is somewhat Romeo's fault. Tibalt is there to try to find Romeo. He was looking for Romeo because he crashed the party that he wasn't invited to where he met Juliet. If Romeo had not gone to that party, then Mercutio might not have died then. I believe that  Tibalt is more at fault for his death rather than Romeo.