Moving the photoshop screen on my desktop sends it to the back of other pages.

[Navigator7]

Used photshop for 30 years.  Now, when I click to drag the screen, any pages already up on my screen come forward.  Or, Photoshop disappears into a sea of other screens. Doesn't do this with Illustrator.  I've no idea how to address this.

[Lumigraphics]

Can you post a screenshot? Apple has various window management features, but windows have always been independent.

Check System Settings under Desktop and Dock for Stage Manager and Mission Control preferences.

https://support.apple.com/guide/mac-help/use-stage-manager-mchl534ba392/mac

https://support.apple.com/guide/mac-help/open-windows-spaces-mission-control-mh35798/14.0/mac/14.0

Finally, Sonoma is currently at version 14.5. You can find updates under general in System Settings.