I had the opportunity to try Leaflet Marker Cluster with Nuxt 3. The implementation example is as follows.
https://nuxt3-demo-nine.vercel.app/map-cluster
For this implementation, I referenced the following page.
https://codesandbox.io/s/ns238
The source code is at the following URL.
https://github.com/nakamura196/nuxt3-demo
As of March 2023, it appears to be at the POC (Proof of Concept) stage. I hope this serves as a useful reference.