and here's something similar in LTSpice.
The motor is Rrun, the limiting resistor is Rlimit, and the P Channel MOSFET is the switch
that shorts the resistor after a time delay. In this case it's about 20ms
The numbers don't match your motor, and a resistor is not a motor model, but it shows the current limiting and time-delayed un-limiting.
You'll notice that Irun is limited to about 3A for 20ms, and then switches to the full 6A. This gets the motor up to speed and doesn't stress the PSU.
However, as G7PSK says, that motor you have loads up to 13A and will probably still trip your PSU.