Hi, @miroslavmihok. The solution for your site is going to be to add a redirect rule to allow all URLs to be rendered by your site’s client-side routing. There is a support guide about this here:
Just make a file named _redirects in the base directory you are deploying to Netlify. Note, that must be just _redirects and not _redirects.txt. (Some OSes hide file extensions by default which can make this sometimes hard to see.)
That file should contain only this:
/* /index.html 200
Then redeploy the site with that file able and it should resolve the issue. If not, please let us know.