After recently switching to bun.sh, I was trying to install Font Awesome Pro. It uses a private registry but their docs have not been updated to support non-npm package managers and bun does not yet support .npmrc files.
You can configure a private registry using an organization scope. First, you must get your auth token from your paid Font Awesome account by going to your account page, scrolling down to the Tokens section, and copying the token.
Copy and paste this string, and replace YOUR_TOKEN_HERE with the token you copied above: