This looks like a network/connectivity issue rather than a Studio package issue. The HTTP 503 error while accessing pkgs.dev.azure.com suggests Studio is unable to reach the package feed properly.
I would check:
Whether pkgs.dev.azure.com is accessible from the machine.
Proxy/firewall or security software restrictions.
UiPath package-feed and required network endpoints are allowlisted.
If using a corporate proxy, verify the proxy configuration in UiPath/Windows.
After fixing network access, restart Studio and try restoring the project dependencies again.
If the endpoint is already allowed, checking the Studio/Robot logs around the package download failure should help identify whether the issue is proxy, firewall, authentication, or temporary service availability.
@system If UiPath Studio cannot install a package, you first check network connectivity to the UiPath package feed, then verify proxy, firewall, and allowlisting. After resolving the connectivity issue, you restore the project dependencies.