Hmm, your HVAC engineer will struggle a bit with this. I calculated 32 Tons sensible cooling. I'd probably spec a 40 Ton nominal unit to handle the heat load. Cooling units over 5 tons are typically 3-phase powered. And if you found one, I'd not want it as it would likely fail too soon. You'd need 2x 20 ton units to cool this beast. Usually 20 ton units also have a reheat circuit to control humidity which requires more power than the compressor circuit when it's on.
When designing a closed system, where there is no air exchanged with the atmosphere, I start with 2X the IT load as the input power requirement for the site. This rule of thumb guess is a decent starting point to know about how large the input circuit needs to be.
So in rough numbers, I'm thinking about 800A, 3-phase @208.
Interestingly, I don't think your sound issue is as bad as some imagine. It's bad, but not as bad. Sound energy follows a logarithmic scale not linear. So 2x 30dB sound sources = 33dB and 10x 30dB = 40dB, 100x 30dB = 50dB. I didn't see the sound specification on their website so I can't do the actual calc. but that will not really matter much. It's based on the bel scale which is 10 times the sound energy = +1 bel over baseline, so 10 decibel is 1 bel.
Also, sound energy, like all unfocused energy, dissipates spherically in all directions equally. When this is measured linearly, like from yours to your neighbors house, the sound energy is reduced by the inverse proportion law, 1/r, where r is the radius of the sphere. So if you measure the SPL from 1 foot away, it should be a snap to calculate the SPL by knowing how many feet away your neighbors ears will be. When threatened with sound complaints, it's good to know your city's ordinances. SPL measured at the property line is really the calculation you should be determining before investing in a substantial electrical system.