Interesting!

I triggered the 2nd and 3rd spend targets before the 21st May, can see them as entries in the AMEX app, so was going to check statement end of month, and see if they flow across to BAEXC.. but who you chase if not reflected? AMEX or BA. Wasn't sure if they were waiting for all 3 / end of offer period- but then again it doesn't say that in the T&Cs. Bit lost