My only concern in that point of time was giving out the phone number, as it will give Google an unique identifier without the ISP and state cooperation. As such I did not use any additional measures.
I am grateful of your comments as it will motivate me to give it another try.
Btw. in fact I do not use regularly any anti tracking measurements. I am only protecting the local businesses against their own stupidity.
I really would like to keep visiting my favorite supermarket regardless of their decision to include their video ads into the Youtube videos I happen to watch time to time. Some careless fools already lost me as an client, I would not like to let this happen again.