How can I disable Stage Manager on the iPad?

Perhaps try a forced-restart of your iPad - 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.

Force restart iPad (models with the Home button)

Press and hold the top button and the Home button at the same time. When the Apple logo appears, release both buttons.

If you continue to experience difficulties, you might be well advised to seek assistance directly from from Apple. 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/gb/app/apple-support/id1130498044

Stage Manager can be disabled from iPad settings - or from the Control Centre.

From iPad settings:

Settings > Home Screen & Multitasking > Stage Manager > Use Stage Manager on iPad - set to OFF

As suggested above, you might do well to seek assistance from Apple Support. You may have identified a new bug.

I’m struggling to replicate your issue.