Trademarks are actually much cheaper than that, I paid a few thousand dollars for mine. The price range your quoting is more typical of patents
You can lose your trademark if you do not actively enforce violations. Hence, the full cost of a trademark should include its legal maintenance.
that is an unknown quantity which one cannot estimate
But a big question is why? Trademarks are very expensive.
It makes sense for a company logo that was AI generated, but spending 100K+ for very limited protection of a piece of art seems questionable.