Yosemite Mail - Major bug when adding a Gmail account

Question

On a Mac I open Mail for the first time.
It proposes me to add an email account.
I select Gmail and fill the three fields (Name, email, password).
When I click on Set Up, the second field (email) and the third field (password) are emptied and the cursor blinks in the second (email) field.
I repeat the steps and click on Set Up. Same problem.
This is a major bug. Impossible to add an email account in Mail.

Answer 1

This did not work for me. I am frustrated beyond belief right now. I did the 'other' route, added a Mail account.. put in my google apps for business email/app-specific password.. it said verifying.. everything was well & dandy. Yay its going to work!
And then it 'unchecks' mail after it sets itself up. It works, verifies, logs in, everything. It shows the password was used from the Google Security page.. at the exact time of setting it up..
And then it unchecks itself. I cannot 'check' mail on the account. It works for Contacts, Calendars, Messages.. but not Mail and Notes.
This is only on Yosemite. My other machine has Mavericks and it works as expected. Oy.