If you click the download now in the middle of this page, it does start a new purchase.
There are two places to get updated downloads of games you have purchased: 1 is a little text link right at the top of the page that is easy to miss that says when you purchased it, the other is to go to My Library. Both of these require you to be logged in to itchio.
LastTape
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A member registered Oct 20, 2020