I feel like I’m in the Labyrinth again…

This only holds true if you define "honest" as "tells the truth 100% of the time" and "dishonest" or "not honest" as "lies 100% of the time."

A dishonest person does not have to lie literally all the time.

You're assuming the answer must be binary, where "yes" means you're honest all the time and "no" means you're dishonest all the time. Those characters show up in riddles, but in reality, most people are somewhere on the scale in between perfectly-honest and perfectly-dishonest.

Even the question "are you an honest person?" would, to most people, mean "are you generally honest?" Either answer makes sense here.

This question is a trap, and its easy to dodge.

An actually honest answer would be something like "I try to be honest."
I would probably float something just like that. Add a bit of fake humility. Not too much.
If people are really looking for the truth, that will look like truth to them. It will also happen to be the truth, as vague as it is, so if they want to dig it won't be hard to carry on. Keep it reassuring. Don't actually say anything definite. Act pious. :]

See also: https://en.wikipedia.org/wiki/Liar_paradox

I'd trust people who say "no" more, tbh.

not being honest doesnt mean you always lie

Conversely, if asked if you're a dirty rotten liar, the only logical answer is "no".

Sometimes...

If I wasn't an honest person, I would also say yes.

A truly honest person may recognize they aren't always honest, and say no.

Not only am I extremely honest, I'm the most humble person on earth as well. And I've got a seven foot penis which glows and sparkles in the dark.

Honest Injun is the correct answer.

Sometimes the best lie is the truth.

As an absurdist, I'm off playing the trumpet.

Saying "no" if you're truly honest is the paradox. Saying "no" means you're not truly honest, and is a viable answer.