The old apps won't work on your new pc, unless you install them on it after operating system installation, whether win10 or win11. If they are legit, then you should uninstall them first from your old pc when connected to the internet and after that reinstall them on your new pc using the genuine serial numbers. For Microsoft products you should deactivate them on your old pc and reinstall and activate them on your new one. It is possible that some of your apps found on your old drives do not require any installation, so they should work on your new pc when run from your old drives.
You could also try to start your new pc from the old drive that has win10 to see if it works. The results are unpredictable, but if you're lucky and you will be able to start your new pc from your old drive, then you could clone the drive to your new one, load again the pc from the new drive and then install all the new drivers for your new devices (graphic card, sound card, network card, etc.). Then your old apps found on the cloned drive should also work. But first deactivate windows and other Microsoft apps on your old pc because they will have to be reactivated on your new pc. I never did this and I am almost sure it won't work but it is worth to try (loading the new pc from the old drive without reinstalling windows).
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