[Desktop] Follow up of #3650 - Unable to authenticate or use Google Keep extension in Brave

[GeetaSarvadnya]

Description

Follow up of #3650 - Unable to authenticate or use Google Keep extension in Brave

Once the extension is installed and added to brave, google sign-in page is displayed, the user can easily authenticate/sign-in using google credentials successfully. But, after adding google keep extension to brave in a clean profile, if we open the Brave.com website and then try Sign-In via extension bubble is failing. The Sign-In button becomes unresponsive in the extension bubble. Ideally, the user should be able to authenticate from both places.

Steps to Reproduce

1. Clean profile 1.14.x
2. Navigate to https://chrome.google.com/webstore/detail/google-keep-chrome-extens/lpcaedmchfhocbbapmcbpinfpgnhiddi to install the google-keep extension
3. Once the extension is installed google sign-in page is displayed - ignore the sign in from this page
4. Open a brave.com in a new tab
5. Click on the extension bubble and click on google-keep extension
6. Click on Sign in for google-keep extension
7. Sign-in button is unresponsive.

Note: It behaves the same in chrome also. Please close the issue if it's expected.

Actual result:

Sign-in button is unresponsive.

Expected result:

User should be able Sign-in google keep extension via extension bubble

Reproduces how often:

Always

Brave version (brave://version info)

Brave	1.14.66 Chromium: 85.0.4183.83 (Official Build) dev (64-bit)
Revision	94abc2237ae0c9a4cb5f035431c8adfb94324633-refs/branch-heads/4183@{#1658}
OS	Windows 10 OS Version 1903 (Build 18362.1016)

Version/Channel Information:

• Can you reproduce this issue with the current release? Yes - cannot authenticate- there is no google sign in after installing the extension, unable to sign via extension bubble either (user cannot authenticate extension)
• Can you reproduce this issue with the beta channel? Yes, user can authenticate using google account after installing the extension, but unable to authenticate via extension bubble
• Can you reproduce this issue with the nightly channel? Yes, user can authenticate using google account after installing the extension, but unable to authenticate via extension bubble

Other Additional Information:

• Does the issue resolve itself when disabling Brave Shields? NA
• Does the issue resolve itself when disabling Brave Rewards? NA
• Is the issue reproducible on the latest version of Chrome? Yes - the behavior is the same in chrome also

Miscellaneous Information:

cc: @brave/legacy_qa @jumde @rebron

@jumde It behaves the same in chrome also, But in the issue description #3650 (comment) the expected result is Sign in button should not be unresponsive. Please close the issue if it's expected.

[bsclifton]

Closing as wontfix. We won't be able to implement first party APIs required for this