Cookies

The ordinary case: a basket cookie and a preference cookie. Nothing that follows you to another website.

The one the shop needs

The basket cookie holds what you have chosen and keeps it through the checkout. It is strictly necessary in the legal sense, which is why there is no banner offering to switch it off: blocking it does not protect you from anything, it just empties the basket.

The one you can clear

A preference cookie remembers a choice such as a country. It goes when you close the browser or shortly after, and clearing it costs nothing but being asked again.

If that ever changes

Anything that actually tracked you would need your consent first, asked properly, and this page would say so before it was set. Any browser will list and delete what is stored. Personal data is separate and is covered under privacy.