If this is LADWP, have you checked their service guide on what types of services they offer? The first google hit (not sure if it's the latest):
Or if it's another POCO, they should have a service guide as well. PG&E calls it the Green Book.
You can certainly use a 120/240V panel for 3-wire 120/208V, where you run two of the 3 phases plus the neutral, and if all the panel loads are 120V, they won't know the difference. [Although the neutral become a CCC, so you would need to double check if that would matter. E.g. 3 such feeders in a conduit becomes 9 CCCs instead of 6 CCCs.] So with a 3-phase service you could divide the 120/240V panels among the 3 different pairs of phases to balance the 120V loads.
Cheers, Wayne