OK, I've been through this. You can use the white gauge that came with the GX AXS, but because the cassette that I used (Sunrace 11-51T to fit Shimano HG freehub) has 45-51T for the two easiest gears, the white gauge doesn't fit on. The eagle cassette is 42-52T for the easiest gears. The gauge interferes with the 45T cog. You have two options:
1. Take a Dremel or similar and trim the white plastic gauge so that it doesn't interfere with the 45T cog and use as per SRAM instructions.
2. Use a ruler to measure the b-tension gap when the derailleur in the biggest rear cog. You want 15mm gap between the upper 12T pulley and the biggest rear cog. It's the gap between the highest points of the teeth on the cogs. It's much easier to measure from the rear cog to the centre of the 12T pulley. The 12T pulley has a diameter of 50mm, so the measurement to the centre of the pulley is the radius of the pulley plus the b-tension gap; 25mm + 15mm = 40mm. Using the white gauge achieved the exact same result as this.
Note, you need to do this with sag. I used a ratchet strap to compress the shock. I also measured the b-tension gap after setting up so in the future I can measure without sag, for my bike this is 38.5mm.
Hard to explain here, but let me know if you need some photos. I've been riding for 2 months on this setup now and it works perfectly - I've done two races to it's had a decent amount of hard use.
A couple more points to note:
1. Derailleur hanger alignment is VERY important. I had a lot of trouble at the beginning with indexing and this was 100% the reason. Totally fixed with a new and properly aligned hanger. Make sure you check this.
2. Setup the micro adjust without the chain on. Do this in 6th gear. I've heard (not sure if true) that the Shimano and SRAM have very slightly different spacing, and setting up the micro adjust in the middle gear "splits the difference" and gets the best performance over all the gears. It's really easy to get the micro adjust perfect without the chain on. Push the derailleur up so the jokey wheel is very close to the 6th cog and it's easy to see. Pro-tip, you can do micro adjust on the app making it way easier.