Sorry. The transformer size is 112.5 kva - primary 480v, secondary 120/208v.
Seeing the size of the transformer and the requirements of the vessel I will presume that the transformer serves multiple vessels.
1) the vessel in question load nameplate requirements may very well be a maximum voltage requirement.
2) if it is not a maximum requirement, then the loads that require "240v" should be verified by their individual nameplates.
3) if they are compressors or motors labeled for 240v they will not run a thier rated efficiency and will draw more amps creating more heat and their life expectancy will be shortened.
4) a 120/208v system is connected as a wye system, 120v to neutral from each phase/line. A 120/240v is usually either single phase or a open or closed 3 phase delta system with a center tap grounded conductor
5) Buck-boost transformers should not be used to create a 240v/120v single phase system fed by a 208Y/120V 3-phase, 4-wire source. If this is done , 2 neutrals would exist on the same circuit. This wiring creates unbalanced line to neutral voltages where one line is 120v and the other line line greater than 130v.
6) If the 240v loads on the vessel are not 208v-240v, then a separate 120v/240v-16v/32v buck-boost transformer should be connected after the source and directly before the loads requiring 240v only.
Not taking into consideration voltage drop from the source this should give you 236v.
7) according to USA C.F.R. Title 46 Part 111 section 111.01-17
Voltage and frequency variations.
Unless otherwise stated, electrical equipment must function at variations of at least ±5 percent of rated frequency and +6 percent to −10 percent of rated voltage. This limitation does not address transient conditions.
To answer your question if this will damage the transformer the answer is no if it is not overloaded from other loads. It very well may damage equipment on the vessel by not supplying proper voltage.
Hope this clearly answers your question.