For a multi-line string, simply add \n to the negated character group: 

s/(?<=[^"\n])\t(?!"|$)//gm

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and of course a /m for the $

In reply to Re^3: Regex for replacing a character "not next to" another character (updated) by tybalt89
in thread Regex for replacing a character "not next to" another character by flightdm

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