They don't have your permission - and they do not care.
As faras Amazon is concerned the videos are merely vehicles for the advertising, and companies like this consider we customers serve them, not vice-versa.
Do the advertisements chime with amyhting you do or use? They may if you do a lot of shopping on-line or use eavesdroppers like "Alexa".
I do not and will not use Amazon for anything, let alone for videos, and your experience with it shows one reason why. I can not, do not and will not trust such companies.
Google is the same: it exists merely to make far more money for the spivs who own it, than they need; and we users are merely the products they trade.
I use a forum dedicated to one of my interests, and it always ran ads at the top and down one side, but all relevant to the forum, and funding the forum. Then recently the website host started plastering it with totally irrelevant ads, even intruding on the main display panel. It appears the hosts have little choice. This is Google in action: I don't know if it had taken over the host-server company.
After a chorus of users' complaints and threats to abandon the forum, they have cut back on the irrelevant commercials, but not stopped entirely.
The ad carries a symbol for closing it. Google then offers a choice of three reasons why you don't want it, including "Not appropriate" (such as for the Asian pseudo-"dating" agencies!).
Google closes the ad, thanking you for the "feedback" it claims is used to "improve" the advertising. That is a naked lie. Google does not and will not "improve" anything. It simply closes the ad at the time, but re-opens it later, sometimes within minutes.