is there any advantage using BabylonJs with VueJs ?
The advantage is really advantage when you are used to use Vue.js for HTML interface.
One needs to have some knowledge how to use all these frameworks (React, Vue, Svelte, etc) with Babylon to avoid re-render.
From my point of view, for simple HTML interfaces it is more effective just to use HTML (or even web components). Of course, it may also depend on other things like deploying etc.
There is the section in the docs about Vue+Babylon: How to use BabylonJS with Vue | Babylon.js Documentation
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