There are apps on playstore and appstore regarding chess game with either vs AI or vs other player of your choice or randomly picked. I believe there are also chess websites like that, but not exactly offering a play and bet style. Most platforms just either offer a completely play only or play-to-earn chess game. I really haven't stumbled upon a site offering play and bet at the same time. Most people just play and just put a personal bet on the side, but those are just applicable for those people who have known each other to secure the agreement.

Although I suppose it would really be fun to play and bet altogether so that there would be some sort of thrill and excitement during the game. Hopefully, you'll find an appropriate and reputable site for chess game.