Unfortunately, there is another point in the hEX PoE specs: maximum current per output port is 0.45 A for voltages above 30 V. 48 V times 0.45 A gives just 21.6 W. Even with the maximum voltage of 57 V, you’d still get just 25.65 W.
Strictly speaking no, as I wrote above - with 57 V and 0.45 A, you still get just 25.65 W (plus there is some voltage drop-down as the power goes from the input to the PoE output, so you’ll have a bit less than 57 V on the PoE output of the hEX even if there is 57 V on the power input of the hEX).
But experience says that the devices actually drain less power than the datasheet states, so you may give it a try at your own risk.
You are correct that the MT48-570080-11DG has enough power to feed the Audience directly, but the limiting factor is that the hEX PoE can only let through 0.45 A per interface.