Multiplus AC>DC charging limits

In ESS three-phase system with 3× MultiPlus-II 48/3000/35, when ACin-coupled inverter generates 10kW and e.g. AC loads are max 7.2kW — how much power can flow to LV battery charging from AC side? Is max DC charge current (105A total = 3×35A) independent of AC load, or does high AC load reduce available charging current?

You’re constrained by the transfer switch in the unit and then the max charger rating, which is a DC limit.
On the 3000 it can transfer a maximum of 32A AC combined loads and charging, with 35A DC charging at the battery voltage.
You will need to do the maths.

Thanks!