Google impersonators scam, says your account was breached!

So i was called by anumber, however the caller id was google. it had the googles logo any everything. it says your account is breached or someone was trying to log into your account. Anyways they will tell you an agent will call back to help. The agent that calls back is unusually a white guy, to keep your guard down. They seem like white collar professionals and are impersonating googles tech team. The agent describes the situation that someone from canada haa breached your account and tells you that he will go over all recent ip addresses and you can help him block the ones that maybe malicious. This was the first red flag, when they try to send you an email with their support ticket. the support ticket didnt land on my email. hence google blocked the malicious email. So then they just told me to write down the case number, and his name. After this he says that there is another way i can view the activity and its by manually typing the site link and then i can view the support ticket. the url was a google site like sites.google.view/ticket-272244. For anyone that doesnt know, this was an immediate red flag. This isnt a googles official site rather people can make google landing pages with this. sites.google is a subdomain for this product. this is done to make you think this is a google product and they are trust worthy. in this webpage you are asked to put your google password. what hapens if you do put that passowrd is that the password gets directed to one of their acccounts and they have that info. they are mainly targetting your primary email so that if they gain access to it, you are pretty much done.