I need to make the name of the logged in user appear inside the URL. Specifically in the user={name}.

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1

.fa-widget-trophy { text-align: center; } 
  .fa-widget-trophy .fa-bottom-widget { 
     margin-top: 10px;
2

I think, you will have to use a html-component, or an iFrame.
And use the “post-message”.
https://www.wix.com/velo/reference/$w/htmlcomponent/postmessage