Hi Reefer,
If we are still discussing the AIR 2 second generation, part number 20 is an insert that goes into the housing (item 21) Not all AIR 2 second gens have this part as the early models had a square broach stamped into the housing. The insert or broach being square keeps the poppet, which has a square form, from rotating. Sometimes the insert stays nicely put in the housing-most of the times it comes out and adds to the frustration.
PM me with an email address where you can receive PDF files and I will send you the schematic and parts list. The schematic is not much better than the one posted, but you may find the parts list helpful.
If the new seat fits securely into place, not need to glue it. If it seems loose, a (tiny) drop of rubber cement, Aquaseal, or fingernail polish might be in order.
Couv