The law governing gambling is referred to as Gaming Law

That’s by design to make it sound like a good thing. The more accurate “gambling” has gotten deservedly negative connotations and the even more accurate “almost certainly being tricked into throwing your money away based on misleading information from predatory rich people” is a bit of a mouthful.

All gambling games also meet the definition for ‘games’, which is likely why they also use that term.

The Battle of The Bulge also met the definition for “exercise”, doesn’t mean people who sold it as a way to get fit wouldn’t be fraudsters.

let me play blackjack sometimes

Sure! But that’s not what casinos do, that’s not how they get their money. They’re inherently predatory and fraudulent. “The House Always Wins” because the “games” are rigged.