The file tray
Where the files you are moving wait. It sits in the notch, floats beside your cursor, or both, and holds what you drop until you drag it out somewhere else.
Drag any file, folder, image or selection to the top of the screen, or shake while dragging. The file tray opens to take it and holds it until you drag it out somewhere else, drop it on a Quick Action, or clear it. Items can be pinned so they survive automatic clean-up.
Where it appears
Settings, File tray opens with one question: where does the file tray appear?
The switch in the page's toolbar turns the file tray off entirely. The notch still opens for widgets and media.
In the notch
How the notch opens, its size and its pages are under Settings, General, Expanded notch. See The notch and the island.
Floating file tray
Instant appear and its delay, Shake sensitivity, Auto-hide and its delay, and Multiple floating trays. Each one is explained on The floating file tray.
Both trays
Shown while the file tray appears in both places.
Moving files out
These two are under Settings, General, File handling.