Welcome to the forum.
In addition to @App Store Connect Engineer's answer, this could answer your question. It may not be as straightforward as you'd wish (steps 4 and 6 in a single step), but close to it; if not enough, you should file a bug report for enhancement request.
https://www.quora.com/How-can-I-move-an-iPhone-photo-to-a-specific-album-and-then-have-the-photo-removed-from-the-all-photos-album-Is-there-a-recommended-app-to-do-this
To move an iPhone photo to a specific album and then have it removed from the "All Photos" album, you can use the built-in Photos app on your iPhone. Here's how:
Open the Photos app and locate the photo you want to move.
Tap on the photo to select it.
Tap the "Share" icon (the square with an upward-pointing arrow) at the bottom of the screen.
In the share sheet, tap "Add to Album."
Select the album you want to add the photo to, or create a new album if desired.
Once the photo has been added to the new album, you can then tap the "Delete" icon (the trash can) to remove the photo from the "All Photos" album.
No additional app is required to perform this task using the built-in Photos app on your iPhone. The process is straightforward and allows you to organize your photos into specific albums while removing them from the main "All Photos" view.
Topic:
Media Technologies
SubTopic:
Photos & Camera