I've heard that brand new airplanes in production test have an average cabin leak rate of 750 ft/min. Given that the cabin altitude in this airplane runs so low, that means you should have a fair amount of time to tackle this procedure.
Everything here is from the references shown below, with a few comments in an alternate color.
Photo: Pack fail indications, PAS, p. 1-20
Click photo for a larger image
CABIN ALTITUDE WILL CLIMB WITH BOTH PACKS SECURED. DO NOT DELAY DESCENT.
PACK CTRLR R: SSPC 3609
PACK OFF R: SSPC 2122
PACK ON R: SSPC 2124
PACK CTRLR L: SSPC 3608
PACK OFF L: SSPC 2121
PACK ON L: SSPC 2123
AUTO TEMP CTL AFT: SSPC 2106
AUTO TEMP CTL FWD: SSPC 2107
Continued flight with the TROV full open prevents cabin overheat conditions.
Gulfstream GVII-G500 Airplane Flight Manual, Revision 4, August 29, 2019
Gulfstream GVII-G500 Production Aircraft Systems, Revision 3, July 15, 2019
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