No you can’t install supervisor like this. You are running Home Assistant Container. See here for a detailed overview of the different install methods.
You can either install Home Assistant Supervised on top of a generic linux system or install Home Assistant OS (depending on the hardware you use). Both will give you the supervisor and add-ons.
If you want to keep your current install, you need to create the addons yourself. Add-ons are just docker containers configured specially to fit in the Home Assistant eco system.
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