I haven't used Hybrid, but it looks like it's in a very early state and your project needs to be set to use Vulkan. There are still tons of issues with vanilla URP rendering an Oculus Quest, so I wouldn't hold my breath on Hybrid working any time soon.
https://docs.unity3d.com/Packages/com.unity.rendering.hybrid@0.11/manual/requirements-and-compatibility.html
"Currently, Hybrid Renderer does not support desktop OpenGL or GLES. For Android and Linux, you should use Vulkan. However, be aware that the Vulkan drivers on many older Android devices are in a bad shape and will never be upgraded. This limits the platform coverage Hybrid Renderer can currently offer on Android devices."
...
"Hybrid Renderer is not yet validated on mobile and console platforms. The main focus for 2021 is to improve the editor platforms, support the remaining URP and HDRP features, and continue to improve the stability, performance, test coverage, and documentation to make Hybrid Renderer production ready. For mobile and console platforms, the aim is to gradually improve test coverage."