Ok go here
https://www.hpcfactor.com/downloads/577/Handheld_PC_2.0_SP1
download
sp1.HPC_SH3.CAB
put on your 360LX
but don't install it on your 360LX since you already used it.
then transfer sp1.HPC_SH3.CAB to your A-11 via IrDA
then "right" tap that file on your A-11, and make sure "read only" and "archive" are unchecked and theoretically the cab should install on your A11
I had issues with cab files that have read only and archive checked