Yes, it does help when the right equipment is on hand.
For the spur gear, I used this gear calculator.
Make sure your gear is the right size by checking its dimension over pins or wires. This measurement over pins calculator works on module and diametric pitch gears of all sizes
evolventdesign.com
It has a section for measurement over the wires. Before I did that though, I just used the DOC engraved on the actual cutter. The over-the-wire measurement just confirmed it - it was within 1 thou.
Now I knew that I can trust the DOC as published and used it as a baseline for the bevel gear. Knowing that I am also not using the correct cutter of the series (because I don’t have it) and that the cutter I have seemed to sit lower in the OE gear, I just eyeballed the final depth of the bevel gear. Since I have the mating gear, it was not such a hard guess to get it right. So basically, I knew the min depth and went from there.