Ask him how to get out again

Feeling that brute force will get you nowhere, you make your sword disappear and advance to the table. You ask the masked man "Alright, how can we move on from here?"

The masked man smiles widely and opens his arms

"On this floor, only the game matters, true,

Win games of luck and skill is the key to pursue.

Win or lose, the path will extend,

For the Gambler awaits at the maze's end."

Eleanor speaks up as she comes to your side "So we need to win games in order to advance on this floor correct?"

The man nods before saying

"But mark your record, wins and losses in sight,

For the key to triumph lies within each fight.

With tests and challenges, your fate rests,

As the Gambler awaits, to put you through the ultimate test."

Well looks like you need to play the game to move, and you better win most, if not all of them, if you want to defeat the Gambler.