Clojurians Log v2

I have a rule for parsing quoted strings that looks like this:

 ::= <"\"">
string  ::= quote #"[^\"]*" quote

but I have a use-case now where the strings can potentially be stringified json and thus contain escaped quotes that break the above rule, for example

"{\"k\": 1}"

I am trying to devise a new rule that handles this, but am struggling. I’ve looked at things like negative lookahead, as so

 ::= <#"(?
string  ::= quote (!quote)* quote