deleting google account is not possible ???!!

[crazed 9.6]

so, I had a few gmail accounts just hanging around and not used in some time. So I wanted to delete them.
You know, get off of Google's email data base.

I should have known better thou. They never let you off.

Here is what I was confronted with...
I had 5 gmail active accounts and wanted 3 of them completely permanently deleted. If you online search how to do that, the results are all the same.
There is a step involved that you NEED to add an alternative email which is not a Gmail ... that is so they can send an email to that with a verifacation code and so on...
okay so I think i will now need to aquire a free email secure account from some onlie service. SoI do that and send Gmail that email addy.
Okay fine. The deletion of that google account goes forward.
But it is still there after all is completed, it is now showing as that new email service I sent them, in other words I can still log on to google and all services with that account but only thing is that it would show as my new email... grrrrrr... meaning google still knows.
And at onset of this operation, google stated that deleted emails and downloads could be retrieved (meaning that they had them in a data base no matter if thought to have been deleted)

so.. I go to next gmail account I want to delete and when it asks for alternative email I give it that same one from last but it tells me I can't use that one cause it is in use on google for this same purpose.

So I go back and create a new free email addy and guess what? They ask for an email to send code to but can not be one of their email addys, which means I can not use same one !!!
So i gave them a google one which I had and then got that working and got code.
But I still have that google one and the others that are simply now showing my new email but are still accessed by google !

It is FUBAR !!
Inherently setup so as to never allow someone to get out of the clutches !!!

&%*(%