My application is a server-side rendered multi-page application developed using vue.
Looking through the
package.json in the git repository you shared, I am not confident you can deploy it to Netlify.
[Support Guide] Can I run a web server, HTTP listener, and/or database at Netlify? discusses that you can and can’t do with Netlify. One of those is running a server, which by the looks of it you are wanting/needing to do for this project.