Questions about stitching clips together - how to prevent audible clicks in an audio track?

For a start I will tell you what I would like to achieve because maybe there is a better way to do it - I would like to render a sort of "music video" in parts (over the course of few nights) rather than in one go over few days and few nights, as I need computer during daytime.

So I thought the way to do it is to render separate sections and then stitch them together with AME. As far as I understand, using "Match Source (Rewrap)" setting (when stitching clips) will not do any transcoding but literally only stitch the clips together so there will be no quality loss right?

But the problem is that when I stitch the clips together I can hear an audible click in an audio track which means that stitching is not sample accurate on an audio level. In a test I did now my stitches were as precise as possible on video level - if one clip had frames from 1 to 1000, second clip had frames from 1001 to 2000 etc.

If I try to put my clips together on Premiere Pro timeline and use one continuous audio track and and select Match Source (Rewrap) when exporting, I get the error message in AME:

"The source file's video stream is not compatible with this preset. Please choose a different preset"

Clips are Quicktime, Prores4444 codec.

Your help would be much appreciated!