ipados 26 cannot move app from app library to home screen

Thank you for clarification.

I'm unable to replicate the problem with iPadOS 26.0.1. Having deleted one or more Apps from the Home Screen, I can successfully re-add them to the Home Screen from the App Library.

If your iPad is not operating as expected, try a forced-restart - as this will often clear an isolated software issue:

Force restart iPad (models with Face ID or with Touch ID in the top button)

If your iPad doesn’t have the Home button, do the following:

1. Press and quickly release the volume button nearest to the top button.
2. Press and quickly release the volume button farthest from the top button.
3. Press and hold the top button.
4. When the Apple logo appears, release the top button.

If the problem persists after performing the restart, it may be necessary to reset your iPad settings. While this reset will not cause any loss of data, as a precaution, it is always wise to ensure that you have a current iCloud or iTunes backup before performing the reset:

How to back up your iPhone, iPad, and iPod touch - Apple Support

When you are happy to proceed, you can perform the reset from iPad settings:

Settings > General > Transfer or Reset iPad > Reset > Reset All Settings

If the problem still doesn’t clear, the next step is to reset the iPad to factory settings:

Restore your iPhone, iPad, or iPod to factory settings - Apple Support

Otherwise, you would be best advised to seek assistance directly from Apple Support. You can contact the Support Team using the Support link at top-right or bottom-left of this page. Alternatively and perhaps easier, you can initiate and manage your support cases using the excellent Apple Support App. If not already installed on your iPad, the App can be downloaded from the App Store:

https://apps.apple.com/app/apple-support/id1130498044

You might also visit the Genius Bar at your local Apple Store or Apple Authorised Service Provider (AASP) - where the technicians will be able to assist with troubleshooting:

Genius Bar Reservation and Apple Support Options - Apple

The iPad User Guide provides comprehensive information about the App Library - including how to move Apps from the Library to your Home Screens. Here is a direct link to the relevant section of the Guide:

Find and use your apps in App Library on iPad - Apple Support

Reset Home Screen Layout: You can try resetting your Home Screen layout, but be aware this removes all your custom folders and pages, returning apps to their default order

Go to Settings > General > Transfer or Reset iPad > Reset > Reset Home Screen Layout.