I also play poker, sometimes with fairly significant stakes, both in cash games and tournaments. I consistently profit, but it's practically impossible for me to quantify my skill, because poker is an imperfect information game.
Many of the principles I've learned about emotional regulation and awareness (recognizing when I or others are on tilt), strategic opportunity cost (which table or house game am I joining), evaluation of expected value (calculating probabilities and assigning weights to uncertainties) come from poker.
I think it's no surprise that many investors use poker as their game of analogy, for the world is indeed a gigantic imperfect information game.
I practice chess to practice logic and consistency, foundational skills that are very relevant to my financial and software development activities. I play poker to remain comfortable in the face of limitless, unclear decisions, where I'm frequently forced to realize a loss despite optimal play.
Strategy requires continuous reclassification between perfect and imperfect information contexts.