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Phaser
Discontinued Phaser is a fun, free and fast 2D game framework for making HTML5 games for desktop and mobile web browsers, supporting Canvas and WebGL rendering. [Moved to: https://github.com/phaserjs/phaser] (by photonstorm)
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SurveyJS
Open-Source JSON Form Builder to Create Dynamic Forms Right in Your App. With SurveyJS form UI libraries, you can build and style forms in a fully-integrated drag & drop form builder, render them in your JS app, and store form submission data in any backend, inc. PHP, ASP.NET Core, and Node.js.
Start with a single player web game first then. Mutliplayer is not something that's suitable for a beginner. Phaser is a good start for web games.
Depending on your game's requirements, you might consider investigating boardgame.io. It is focused on turn-based board games, but that might be all you need. They discuss state management (including secrets), game discovery, turn processing, and other useful features.