Thanks for these replies, very useful!
I've been quite a passive miles collector; book the cheapest ticket and see what miles arrive in my account. Now I am realising that I will need to figure out if the 24k + 4 A3 segments is doable and can't quite figure out how to check airlines/ticket classes while booking.
Is it realistic to book a CPT - EUROPE then the 4x A3 Segment, then EUROPE to TPE and back to CPT and earn 24k flying economy? Just trying to figure out how hard to push for it. Thanks for any advice...