Are these Character Tropes?

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Athens Versus Sparta is a red link. What's the actual trope?

Let's see which one is correct...

Athens and Sparta Sparta Vs Athens Athens Vs Sparta Sparta And Athens Sparta Versus Athens Athens Versus Sparta

Could have simply used the search to check what the name is.

Without further context I'd think it's a setting trope.

So, could it be worth to make a characters-specific Sister Trope to Sparta And Athens? Like "Warrior And Diplomat"?

If you want to propose a new trope, you can read TLP Guidelines, but this has no relevance to this thread.

Is Calling the Old Man Out considered a character trope or a story trope?

It sounds like a single action, so it's not characterization.

Would the Accidental Hero trope count as a character trope if it only happens once or twice?

And what about Running Gag?

Running Gag is definitively not a character trope.