My genset starting battery is entirely separate from the rest of the system, just for that very purpose, as a starting safety net. In that situation, I would open the galley floor hatch, pull the genset battery, swap it with the one of the dead engine starting batteries, and fire it up. Probably starboard engine since that battery is easily accessible. Hopefully that Group 31 on the genset would have enough juice in it to start the engine (we don't run the gen very much to top off that gen battery consistently).
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