Unless things have changed lately, Stage Manager is the only way to do real window management* on iPadOS and it's a disaster. It's so confusing and is doesn't even approach the efficiency of a desktop OS.
*I suppose your setup can work well enough with split view, slide over, and picture in picture, but that's not real window management with arbitrary resizing and moving windows around. Stage Manager seems to be Apple's attempt at this in iPadOS and I just hate it.
I did say casual experience. You won't get anything too serious done on it, unfortunately.
But yeah, there's not much in the way of proper window management. Stage Manager does allow for some degree of windows management if you figure out how it works (I like it! I might be the only one...) , and you can do split view and side view which are fine for two applications at least. But anything more than that and it's not really all that effective.
It's unfortunate too. I have made use of Sidecar to pull up MacOS on my iPad, and it's perfectly functional even on that small screen with things like Mission Control. Also just very useful if you want to shove Teams or something on there while you work.
EDIT:
Here's an example of an iPad Air plugged into a Dell 16:9 monitor. You can do some degree of windows management this way. It's not really ideal, but it's not terrible for casual use, especially considering you can have one or two windows on the iPad itself too for around four or five at a time. But if you just have the iPad itself, then windows management is borderline non-existent without Stage Manager and kinda not ideal with it. :(
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