In looking at the WSM hydraulic system manual for the
BX23, the power flow to the 3PH is such:
1) Pump
2) Flow priority valve
3) FEL control valve
4) BH control valve
5) 3PH
The priority valve, relief valve and 3PH control is located in the block called the Hydraulic Control Valve assembly.
The priority valve splits the pumps output between the FEL, BH & 3PH and the power steering assembly & pto clutch assembly.
If the HST, power steering and pto works then it's safe to assume that the pump is fine. It would also be safe to assume that at least part of the priority valve is also functioning properly.
The question then remains is the priority valve providing hydraulic power to the FEL control, then to the BH control and then on to the 3PH. If the BH works then the priority valve is working.
Another thing of note is if the relief valve is staying in bypass (i.e. either bad or over pressured), then there won't be enough power for the FEL, BH and 3PH to work.
Looks like it's going to take a few steps inorder to find the problem, one being the need to either remount your BH or disconnect the line to see if theres high pressure getting through that circuit. Course if you've got a pressure gauge handy that would be the easiest way to troubleshoot the various circuits for power.