Very surprised you can get a 240/120 4-wire delta (high leg) as our POCO has stopped allowing these for a while now.
What is the manufacture of this equipment, as the voltage rating sounds a little European, if so it could be a 50hz rating, and that could make a difference to which way you should go.
While 208/120 is the most common here, some equipment does not like 208, tanning beds with magnetic ballast are one, and high torque motors rated at 230 volts are another.
I generally like higher voltage then lower as any voltage drop can affect the load also, but the many problems with using a 4-wire delta can be a pain, as you have to show a load demand separately to the poco so they will know which tank to make larger, as you can have a larger center tap tank for a higher 120 volt load demand or if you have a higher 3-phase demand then the two other tanks can be larger, with a smaller center tap tank, also having the 208 volts from "B" phase to neutral can be scary if this place has other people also doing hook ups, so care must be taken to place warning labels in the panels, or set single phase sub panels that only have A and C phase to it, and mark the main panel for 3-phase loads only. but try to get more on tolerances from the manufacture and go with their recommendation, as they will know how this machine will operate, at least with the 208/120 you can buck boost up to the 220 volts, fairly easily and you don't have the unbalance loading of the service that happens with a 4-wire delta, or the high leg that if some one hit it with a 120 volt load and burns up equipment, which is another factor as many 240 volt loads that have a 120 volt controls will have to avoid having the controls on the B phase.
My vote is a 208/120 and if needed buck boost to the correct voltage for this machine.
But watch out for air compressors with 208, they will require a 200 volt rated motor as these are one of the high torque motor loads I was talking about, but most other 230 volt rated motors run fine on 208, and scroll type air compressors also dont have this problem, but care must be taken when ordering equipment.