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#Google Sheets, 94 bytes

=ArrayFormula(JOIN("",CHAR(BIN2DEC(SPLIT(SUBSTITUTE(SUBSTITUTE(A1,"Fizz",0),"Buzz",1)," ")))))

I'm not familiar with FizzBuzz binary but it seems that they're delineated by spaces so this formula relies on that. The logic is pretty simple:

• Replace Fizz with 0 and Buzz with 1
• Split the result into an array using a space as a delimiter
• Convert each element from binary to decimal
• Replace each element with its ASCII equivalent
• Join each element without a delimiter