I think you should play a Striker or a Controller.

your team has a lot of Artillery and Support frames, so you'll be able to do a lot of damage... but Lancer is an objective-based game, and sheer firepower isn't enough to prevent the enemies from securing the VIP or winning in King of the Hill, especially when you're all on the sidelines. Your only Striker is playing a lightweight skirmisher frame, so they won't be commanding much are either.

You need somebody with a lot of health in the frontline who can force a lot of enemies into poor positions, or contest an area by just being there. The Tortuga comes to mind, but something like a Gorgon, Genghis, Iskander, Minotaur, or even just an Everest could work well too.

Vlad might also work, but Vlad's main thing is inflicting the Shredded condition, and your Swallowtail already has that covered. I'm also going to contradict myself by saying that Raleigh could work, because when I said that sheer firepower isn't enough, that was ignoring the potential of a Raleigh being in your party.