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Regarding doc strings, it seems that a constant f-string without any interpolations does become a doc string. But I would treat this as an implementation detail, not something to advertise.
Attached is my attempt at a patch. Please have a look and let me know if there are things I missed, if I added too much detail, wrong terminology, or whatever. I haven’t really written documentation like this before.
The combinations and permutations of all the Fr". . ." prefixes are getting borderline out of hand in the lexical_analysis.rst grammar. Any suggestions?
I put the bulk of the documentation in a new section "Formatted string literals" of the Lexical Analysis chapter, the same place that describes escape sequences and raw strings. Let me know if there is a more appropriate place for it. It doesn’t feel quite right where it is because this chapter comes before Expressions, and f-strings use expressions inside them.
I also made minimal changes to existing parts of the documentation and tutorial, to point to the new documentation. Perhaps some code examples could be changed from str.format() to f". . .", but I think that would be the subject of a separate patch. There are even places that still use the outdated "{0}".format() numbering.