Meta has an official process for WebXR content & is covered on their documentation on WebXR Workflow:
Publishing Your Experience
A WebXR experience is just a normal web page, so it can be served online like any other site.
Meta Quest Browser also features WebXR experiences on the New Tab Page. If you have created a WebXR experience that you’d want to get featured, see the submissions guidelines page.
WebXR Submission Form
After following the guidelines and confirming you meet the technical requirements, submit your experience with the WebXR Submission form to be considered for the New Tab Page.
Their submissions guidelines (linked above) list both content guidelines, technical requirements and technical recommendations. I suggest familiarizing yourself with them before investing resources in development so as to maximize effort on things that meet their criteria. You should also note that the openly state meeting their criteria does not guarantee your experience will be featured.
They also have additional WebXR developer info here: Get Started with Oculus Browser & WebXR.