It's not on the
Crosshair X670E Extreme Memory QVL, so is not currently a recommended part. It might work, or you might need to fight with the memory timings to make it work, or it could just be a problem. There are plenty of other 5600 parts listed, including different parts from G.SKILL.
When looking at the QVL, note the "socket support" column, which is currently "1,2" for everything listed. That's how many sticks are in the validated configurations, so maximum of 2 sticks for all current entries on the QVL. Modules known to work in a 4 stick configuration would be listed as "1,2,4". Running 4 sticks of overclocked RAM is harder than 2 sticks, and all XMP/DOCP/EXPO speeds count as overclocked. As AM5 and DDR5 mature, hopefully some validated 4 stick configurations will eventually appear on the list.