Is it still possible to integrate Google Sign-In within a Chrome Extension?

Question

I've been attempting to follow this guide to integrate Google Sign-In within my chrome extension, but I kept getting an error saying that,

Refused to load the script 'https://www.gstatic.com/firebasejs/8.0/firebase.js' because it violates the following Content Security Policy directive: "script-src 'self'```."

I then tried to include,

"content_security_policy": {
  "extension_pages": "script-src 'self' https://apis.google.com; script-src 'self' https://www.gstatic.com; script-src 'self' https://www.googleapis.com; script-src 'self' https://securetoken.googleapis.com;"
}

in my manifest as stated in the aforementioned guide, but then I got the error,

'content_security_policy.extension_pages': Insecure CSP value "https://apis.google.com" in directive 'script-src'.
Could not load manifest.

I then removed the content security policy and tried to include the firebase.js file in my extension directly, but then now I get an error saying,

Refused to load the script 'https://apis.google.com/js/api.js?onload=__iframefcb944385' because it violates the following Content Security Policy directive: "script-src 'self'".

I don't think I'm doing the content security policy incorrectly, so my question is if it's still possible to integrate Google Sign-In within a Chrome Extension. My guess would be no and that it's related to how Manifest V3 will not execute remote code anymore, but I just wanted to double check to make sure that I wasn't doing anything wrong.