Hey erikgj,
We'd recommend reviewing this article for your options on moving and organizing apps: Move apps and create folders on your iPhone, iPad, or iPod touch - Apple Support
"How to move an app to a different page
1. You start with one page of apps. To make a new page, touch and hold an app until the apps jiggle, then drag an app to the right edge of the screen. You might need to wait a second for the new page to appear. To delete a page, consolidate all of your apps to another Home Screen. When there are no apps present the page will delete.
When you have more than one page, a bright dot in a row of dots above the Dock shows you which page you're on. You can move an app to a different page and create new pages.

2. If there are dots to the left or right of the bright dot, you can drag an app to the right side of the screen to move the app to the next page in that direction. Or swipe left to see the apps on that page.

3. If there are no dots to the right of the bright dot, dragging an app to that side of the screen makes a new page.
4. With iOS 16, you’ll see Search at the bottom instead of the dots until you scroll through the pages on your Home Screen. The Search option is available only on iPhone."
If that's not working as expected, we'd recommend contacting Apple Support for assistance here: Get Support
Thanks!