How could you politely end a conversation with a person who is so annoying?

When dealing with an annoying person, the most polite and effective strategy is to introduce a clear, time-based constraint that shows your attention is required elsewhere, making the exit necessary rather than personal. You can use an assertive but kind phrase like, “I would love to keep chatting, but I need to jump into another call/meeting/task right now before my deadline hits,” or, “This was a good catch-up, but I have to be the adult in the room and get back to my focus work.” A future-focused statement works well too: “It was great talking, but I’m completely out of time; let’s pick this back up next week when things slow down.” The key is to be brief, state the necessity for leaving as an external, unavoidable force, and end the conversation on a quick, firm note without inviting any more comments.