Same here on my iPad Pro 12.9 3rd Gen MTEL2B/A.
Installing from the profile pops the 'I need to uninstall some stuff' message and then hangs.
Installing via Finder and the downloaded OS fails so I'm assuming that the image for my particular iPad is not available just yet, even though it is listed as supported for iPadOS 16. Or possibly although perhaps unlikely that it can only be installed from macOS Ventura which I am not running yet.
nuxnix
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