UK POS - which i believe they should use by default if you have a uk exec account - is

BA 185 LHR 24 May 2025 11:10 AM EWR 1:55 PM
F8 A4 J9 C9 D9 R9 I7 W9 E6 T0 Y9 B9 H9 K9 M9 L9 V9 S6 N2 Q0 O0 G0

using Ireland POS
F7 A0 J9 C9 D9 R6 I1 W9 E0 T0 Y9 B9 H9 K9 M0 L0 V0 S0 N0 Q0 O0 G0

So there is an issue around what POS they should be using. But putting that aside, if it is A0 based on the correct POS, I am afraid that is conversation over. You either have to hope a F reward seat appears at some point, or maybe it goes back to A1 - and with a small cabin as you note, that is unlikely.