I had the opportunity to try Leaflet Marker Cluster with Nuxt 3. The implementation example is as follows.

nuxt3-demo-nine.vercel.app
nuxt3-demo-nine.vercel.app

For this implementation, I referenced the following page.

codesandbox.io
codesandbox.io

The source code is at the following URL.

GitHub - nakamura196/nuxt3-demo: Sample Repository for Nuxt3 Including Examples of Various Library Usages
Sample Repository for Nuxt3 Including Examples of Various Library Usages - nakamura196/nuxt3-demo
GitHub

As of March 2023, it appears to be at the POC (Proof of Concept) stage. I hope this serves as a useful reference.