A calibrated spectrophotometer with an integrating sphere and known entrance pupil will do all that, there are various simplifications of that for specific domains/measurements but if you want universal then you get complexity.
What do you have already? What is the budget?
As we make automotive lamps we have a goniophotometer with all the required sensors.
This will be OK for the first part of my question, about the white light we need to make, it can be measured like any car signal light at 3.16m.
I posted the question because I was concerned about the measurement distance which is not specified.
I forgot to mention about the lamp we are supposed to make, the specifications require a photometric test with given intensities required at certain left/right and up/down points, very much the same as for car lamps.
The same is required for the infrared lamp so I assume I will need to test also with the goniophotometer but with a different sensor.
I see many radiometers such as from International Light, but they all measure in mW/cm2 and I couldn't find a formula to convert to mW/sr, probably because it is a different measurement method.
You mentioned an integrating sphere which now rings a bell, I found in the company's junk an old spectroradiometer with a small, approx. 10cm integrating sphere with SMA interface.
I have no idea if it works and for sure is not calibrated.
I also saw somewhere some larger integrating spheres, 50cm and 100 cm from an old Chinese test system.
This is what I have, I am now trying to find something about the mW/sr measurement method.