Thank you Shannon,
According to your engine details, here's the Parts Manual for your 091200 series motor:-
http://bsintek.basco.com/BriggsDocumentDisplay/18jsBLXBnfBhU7y.pdfPage 5 shows the Carburetor and, if this is correct, then the diaphragm you need is numbered 394 (used after date code 920630 00), being part number 272538S. The other is 394A (used before date code 92070100).
Just to give you an idea on the Date Codes with Briggs and Stratton engines, they are in YYMMDD order and the last 2-digists is the Factory where they are made.
That said, your Date Code 00 08 02 3A should be read as Year 2000, Month August Day 02 and Factory 3A.....
Hope this helps.