Pretend like the annoying person is actually a wise mentor attempting to teach you something.
When Luke Skywalker met his mentor in Star Wars, Yoda pretended to be a pestering green alien rather than reveal his identity as the most powerful Jedi in the world. By doing so, Yoda unearthed the quality Skywalker needed: patience.
You don’t need to deal with annoying people at all. You need to understand why the annoying person triggers you, because exploring your annoyances is perhaps the best way to grow.