There is quite literally an overabundance of advice for how to navigate a conversation that's gone south. But the best method is going to be the one that you have practiced the most:
Potential Try Sayings for one on one conversations:
1. When you want to change the subject
What to say: “Can I interrupt? We need to talk about XYZ.”
2. When you want to respectfully disagree
What to say: “I differ in opinion, but that’s an interesting point you make.”
3. When you need a break
What to say: “This isn’t something I want to talk about any more. Can we move on?”
4. When you’re feeling uncomfortable
What to say: “For my own reasons, I’d rather not discuss this topic. Mind if we ditch it?”
5. When you’re distressed and want to shut a conversation down
What to say: “I respectfully disagree on this topic and think it would be best if we avoided it moving forward.”
6. When your co-worker gets emotional
What to say: “I see that this is a topic you feel strongly about. I am starting to feel a bit uncomfortable, can we talk about something else?”
7. When your boss is talking politics
What to say: Both experts say that the same respectful language you’d use with a colleague applies to your boss.
8. When you’re the one who wants to talk politics
What to say: “I am interested in getting your thoughts on X. Is that something you’d be interested in discussing with me?”
Umoh, R. (2018, November 7). These 8 simple phrases can help you avoid awkward political conversations at work. CNBC. https://www.cnbc.com/2018/11/07/8-phrases-that-help-you-avoid-awkward-political-conversations-at-work.html