[#2176] Move from Vue CLI to Vite

[sopa301]

Fixes #2176
Continuation of #2178

Proposed commit message

Move from Vue CLI to Vite

Vue CLI has been put on maintenance mode and its dependencies have
security issues that have not been fixed for a while. Switching to Vite
also allows us to introduce Vitest for our unit testing.

Let's install Vite and remove Vue CLI.

Other information

The proposed solution is to modify the publish-RepoSense script to dynamically inject the VITE_BASE_DIR environmental variable based on the current workflow. This approach ensures that the base variable isn't unnecessarily modified in the main code, as other deployment methods may not require it. This also preserves the current frontend testing pipeline.

Do note that this PR will not work without some changes in the publish-RepoSense repository to facilitate the injection of VITE_BASE_DIR.