My understanding is that AA would be able to sell you the ticket. One of the allowed ticket stocks is AA's. (The others are BA/CX/LA/QF/LP.) However, travel is good only on AY/BA/CX/EI/IB/QF/LA and their affiliates. (The oneworld website has information about these subjects that conflicts with the file that's downloadable from the QF website. I'm providing information from the QF file.)

But you've made a good observation about there being no published fare for USA origination because the ticket is not valid for travel to/from the USA. Therefore, there is nothing to which to compare the Egypt origination fare when buying the ticket in the USA.