Yes I realized this later. AD743, unfortunately, was the best choice for us. Its replacement ADA4627 from Analog Devices is worse than OPA827 which is the next best choice according to the LISO simulation. So we'll go ahead with OPA827 in the Stage 1. I'll put the final schematic with board design soon.
AD743 is discontinued. We have a few in stock, and there are still a few SOIC-16 version that you can buy.
But better to design with a op amp that is replaceable into the future.
I checked with some replacements of opamp at stage 1 to reduce the noise due to current noise. It seems AD743 is the best balanced opamp for this location. Attached is the circuit schematic of this final version v3.2 , with LISO analysis and also the analysis done to reach to this opamp.