So, both condenser fans operated when the a/c is switched On.
That the information I wanted.
CCU is sending the a/c On request to the FCU.
FCU has received the request and checked the Triple Pres A status as well as the Rad fan temperature sensor.
If happy with the result, send the comp. CL On request to the ECU and at the same time, activate the R&L condenser fans.
So, one side of the loop is operating properly and closed apart from Triple Press SW A status.
There could be a state where the condenser fans were activated but because the pressure was too low or too high, the compressor can't be engaged.
However, you already tried bypassing the Triple Press A.....
Now the other side.
ECU is the one that activates/deactivates the comp. CL relay and this is where the problem is.
In your latest post, you mentioned that this relay clicks when pressing the manual override A/C switch On and Off at the CCU.
This is a new info for us.
This means that the coil side of the relay is working and thus, ECU is actually activating/deactivating the comp. CL relay based on the request from the FCU.
So, in theory, both loops are functioning properly and thus, the logic level has no problem.
This leaves us with the switch side of the comp.CL relay so more of wiring or relay, fuse, etc parts issue.
Presuming that you were looking at the correct relay for the comp.CL and the fact that swapping it with another relay didn't make any difference, then chances are, you don't have the high side power source at the relay connector.
It is through the #21 10A fuse inside the eng bay where you can find the jump start terminal and in your earlier post, you already mentioned that this fuse is fine.
It's the PNK/ORN wire running from the eng bay fuse box to the stuck of multiple connectors located at the forward left side of the cabin behind the glove box so not an easy task to check.
I'm bit busy with the potential crank pulley weight issue on another NSX but will take a simple photo and show further test method.
In the meantime, as goldnsx mentioned, please first confirm whether you have permanent +B voltage or not (regardless of IGSW status) at the PNK/ORG wire terminal at the comp.CL relay socket.
If no power, then whatever the cause, that is the reason for not engaging the comp.CL.
If you have confirmed that you don't have the permanent +B at the PNK/ORG wire, de-pin it and create 10A fused single wire from the pentagonal/octagonal relay box under the bonnet with 250 terminal at the other end so that you can swap it in place of the original PNK/ORG wire?
This will be the safest method as you will keep all the logic control.
Kaz