Even if you already have the current version, this site would still show you a download link for it if it knew you owned it.
Which site did you purchase PICO-8 from?
If you bought it from humble, do what it says to do in your screenshot:
This is the link from the screenshot:
If you bought it from itch, then you need to download it from your itch account:
If you bought it from lexaloffle, then you have to log in to the account you bought it with, and download it from the page you already know about:
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