Color picker appears on different screen

I don't have the dialogue box you showed for Mission Control.  But I found it here and clicked the boxes you suggested.  Did I miss something?

Yes.  But I'll restart again.  Just to be sure.

Did you restart the computer after changing the Mission control settings?

Thanks for hanging in there with me on this.  I have gone back and manually restored the settings.  Didn't change anything.  (Put my Settings back in.)

I have checked all the boxes in Mission Control that you have checked.  Still no change in the problem.

Sorry, don't use the video on the page. The text on the page describes how to back up and restore your preferences.

I still can't repro on macOS 12.x or 13.x with PS 24.

Do you have different settings for Mission Control than mine?

Thanks for replying.  I followed the video and reset to default.  I still have the problem.  (Not sure what you mean by "put the Settings folder back.") By the way, this problem extends to any "pop-up" dialogue box -- like New Document.  They appear on the home screen, not the second screen.  In the past, if I move the pop-up over to the second screen, it remembers the next time to open it there.

I was able to make a workaround by temporarily making my second screen the default screen, but I'm not sure how that's going to work when I'm visually capturing live virtual meetings.

I cannot reproduce this. When I drag the color picker to a different screen it stays on the screen I move it to. I'm launching the color picker by clicking on the foreground/background chips on the Tool bar. 

Let's make sure we're in a default state and there are no stale settings somewhere:
Restore your preferences using this manual method:
https://helpx.adobe.com/photoshop/using/preferences.html#Manually
Does it work correctly?
If that doesn't solve it, you can quit Photoshop and put the Settings folder back.