Switch mode power supply inrush current protection
As you can imagine, in-rush to charge caps during power on is a very common scenario. At thousands of watts and above, these sorts of schemes are worthwhile. But below that it's often not an issue in practice. In practice what usually saves you is the short-circuit current limit of the power supply. All useful power supplies will have a maximum current they can supply for a short period of time.

So suppose the power supply has a conservative short-circuit current limit of 6.5A. Then it will take 24*0.044/6.5 = 160ms to charge the caps at turn-on. If the current limit is higher, it will be shorter. Provided everything can handle the elevated current for a sixth of a second or so, everything will be fine.

Now what I would be more concerned about is power supply stability with a capacitive load. Generally power supplies are only rated to behave correctly up to a maximum load capacitance. 44mF is a lot. Beyond their maximum load the feedback loop of the power supply can be pulled out of stability resulting in wild oscillations of output voltage and possibly destruction. You can mitigate the capacitive effect with a series resistor on the output of the power supply, but then you have voltage and power losses to consider. I'd be trying to determine how much load capacitance the power supply can tolerate.