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But it’s a game of chance.I mean... no, it's not? Certainly there are elements of chance, but there are elements of chance in playing soccer or basketball, too, as well as Catan or Monopoly. But I wouldn't call those "games of chance".
I would define "a game of chance" as something where the outcomes solely depend on you betting on the result of a random process. Games like blackjack and craps are like that: even if you learn all the odds on everything and play "perfectly", your outcomes are still fully dependent on the randomness of the shuffle or the dice roll.
Poker is not like that at all. Yes, your outcomes are in part defined by the shuffle of the cards, but you are not playing against the deck or the dealer; you are playing against the rest of the players at the table. You can win with the worst hand if you make the other players believe your hand is better than it is. You can lose with the best hand if another player makes you believe their hand is better. That's just not possible with games like blackjack or poker. Either your cards are better than the dealer's, or vice versa; that's it. Either the dice roll matches with bets you've made, or not, or the shooter craps out. There's no ambiguity there, and you can learn the odds of winning or losing each particular bet that you can make.
(Just a note that you can also learn the odds of having the best or worst hand in poker based on your initial cards, and then update those odds as more cards appear. But in the case of poker, having the best or worst hand is not the same as winning or losing.)