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Yes, in the iOS apps the search doesn't include notes, but for some reason it *does* work when the search is performed as part of a Perspective. I'm doing the same thing since a few weeks to mark stuff that I really want to get to this week, without making my Flagged list too long.

BTW, the suggestion to put a #tag in the title is a good one, often that's just a bit quicker than having to open the Note field and adding it there.