Even if Google (or any other provider) was unaware of a particular VPN at any given time, it would eventually know about it. VPNs are not what people believe them to be. They don't make you an untraceable ghost, just ask folks still served with DMCA violations.
If you are going to use Google accounts, you are going to have to follow their rules. Is the concern that Google will know your physical whereabouts? What is the actual concern?
The problem is that Google doesn't follow its own rules. There are many people who followed the Google's rules but were attacked by Google only because Google doesn't follow its own rules. We could discuss this endlessly but this is not the topic here. The topic of this thread is:
Can I get a VPN that doesn't get rejected by Google accounts? I mean a VPN that won't be recognized by Google so Google won't ask me for my phone number?
DMCA is not an issue as my VPNs are outside the 14 Eyes Alliance.
I am not going to intend to violate copyrights but I need it to be free to have freedom of speech. This human right is banned on Google Accounts when you say a political view which Google does not like, regardless of whether you think otherwise.
Yes, my concern is my physical security. I do not want any persecution of my person just because my political views.
My physical security will be secured by VPNs which are outside 14 Eyes Alliance.
But I need such VPNs which are not get rejected by Google accounts. I mean a VPN that won't be recognized by Google so Google won't ask me for my phone number.