I’ve done some research, and although I don’t have much experience in the field of web games, here are a few points you should know:

1. Games published on the web can be made with Unity but using only JavaScript.
2. If you’re working with Unity, I have a package that allows you to export your game for the web, but it’s important to note that the export alone isn’t enough. You will need Front End skills to customize your website page.

Conclusion: To implement with Unity, you’ll need a Front End developer who can customize the page, and for creating web-based games, JavaScript is used more than C# and Unity.