For right now, you can use the supplied thin gasket. Be aware that it will affect the thermostat for the automatic choke as the carb will physically be sitting a bit lower than with the thick gasket, which the choke settings are calibrated for. Probably a minor thing in these warmer times of the year?
When I replaced the Stromberg WWC 2bbl on my '66 Newport with the later Holley 2210 2bbl, Holley supplied a thin gasket with it. I used it and things worked pretty well. But after a few weeks, it got a bit shakier idle. One of the base plate nuts had gotten loose. I re-torqued it and it lasted a few weeks before it needed it again. This was in '73, so I went down to the dealer and ordered the correct, OEM gasket, which was "thick" with bushings in the stud holes. END of problems. The Stromberg WWC and 383-sized Carter BBD go in the same place, so their gaskets probably would interchange, too, as well as the later Holley 2210/2245 base gaskets.
DO NOT use gasket mat3erial to make a carb base gasket and also DO NOT use layers to make it thicker! Reason? Even if you use careful cross-pattern procedures to torque the retaining nuts down, you CAN easily crack the baseplate of the carb. Use the thin one and THEN ORDER the correct thicker OEM-type base gasket.
You might contact Woodruff Carb, usually an ad on these pages, who is a member here.
Keep us posted,
CBODY67