Switching Power Supply - Type of MCB for Inrush Current
You need to be looking at the trip curves for MCBs when planning for inrush:


https://studyelectrical.com/2014/07/miniature-circuit-breakers-mcb-types-characteristic-curves.html#Selection_of_Right_MCB

You can see that 10ms and below is not on the graph. Inrushes below 10ms will not cause a trip, by design.

From having designed similar equipment I would suspect that your inrush will be barely in the milliseconds if you were to measure it.

In any event, a B10 MCB would be a sensible choice here.