The other day, I logged in to a Google account with the YouTube app on iOS. Later, while doing a Google search, I noticed the Google account's profile in the corner, despite me never signing in to this or any Google account on Safari. I deleted all of my Safari's history and it didn't appear to sign me in again, so I re-downloaded the YouTube app and signed in again. Sure enough, Safari somehow recorded those details and signed me in to Google again. As Apple has positioned itself as the "pro-privacy" company, I find it very concerning that they are just automatically signing me into Google, despite me very much not wanting that.
I could not find anything about automatically signing me in to website in Safari, I have auto-fill off and most of the privacy settings enabled. How is this happening, and how can I disable it?