Footnotes starting at one on each new page in a book-length document

It seems that no matter what I do, the footnotes are not quite right. On every other page, it might start with 2, with 1 being at the end of the list on the previous page, or similar. No matter how many times I re-run it, it always tells me to re-run it to fix cross-references.

I have tried perpage, footmisc, zref-perpage, and even the ancient footnpag.

This FAQ doesn’t give me much hope.

The perpage package almost works. It certainly works in small examples but not in a book with 800 pages.

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EDIT:

Attempt 1:

usepackage{perpage}
MakePerPage{footnote}

Attempt 2:

usepackage[perpage]{footmisc}

Attempt 3:

usepackage{zref-perpage}
zmakeperpage{footnote}

I’m using the memoir class. Each page has about 10-40 footnotes.

I’m using lualatex.

The first problematic footnote doesn’t appear until page 38.

As this answer suggests, the "reference oscillates which page it is on".

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EDIT 2:

Here is the simplest example. The issue is present on page 26 where the list of footnotes starts with 34.

https://gist.github.com/honza/8707c5eaeb038aa611a44925e3b4c7bc