Just going by what was seen of the wire, there was 4 conductors 2black, 1 white 1 green. Maybe white was not connected don't know will check when back on site. Only did cursory check for parts list, but came against the 45A breaker availability issue.Not according to the nameplate info you posted. They are straight 208/230. If they required a neutral there would be a 120 shown on the label.
I have never seen a package HVAC unit that required a neutral. For split systems the furnace/air handler may be 120 but this would be a completely separate circuit.
I would also normally install that 40 amp breaker for this unit even if I could get 45's. I trypically don't use 25's, 35's or 45's unless the units minimum and max OCP happen to be the same and require the odd size breaker.
But if I can place at any location on bus because no actual neutral connection it would also then need a straight rated 240, not a 120/240 as was already pointed out by someone. Correct? Simpler for availability is just be aware of breaker placement and use the 120/240 breaker.
Of course this is all IF the original installers did indeed use the 240/120 Delta configuration as labeled. This company I've seen many, many wireing phoepas, mislabeled, no labels, and other electrical issues in there locations when I've gone in to do service. No shortage of "What were they thinking" moments on their sites.