I’m as pro privacy and anti advertising as it gets, and your post is bad. You have a Smart Stack card on screen that is showing you articles from the news app, and another showing you App Store recommendations. it’s not an advertisement, iOS does not spam ads, just remove the Smart Stack, or remove the news app and AppStore from its feed.
By the way on the right its a picture I took, its my gallery. Never asked the iPhone to put my gallery there either. Or even asking to have this "smart stack" enabled...
Yes. It was a new feature.
You can turn it on under settings. Long press on the screen and edit the widgets and turn off notifications for the App Store!