Based on your diagnosis so far, it is very likely that the indoor fan motor is faulty (shorted turns in the motor winding).
You can test the motor independently to confirm. Since it has a run capacitor, which is 4uF, it is probably less than 400W and a PSC type of motor, which is simple to connect power to for testing.
The motor connections are as follows:
N - (Blue) : Motor common (Neutral)
H - (Brown) : High Speed
M - (Grey) : Intermediate-high Speed
L - (Violet) : Intermediate-low Speed
LL - (White) : Low Speed
Capacitor wires are probably orange and on an independent cable.
For safety, connect the wires to a terminal strip and be sure to connect earth ground too. The non-connected wires will have a voltage on them when power is applied, so if you are not using a terminal strip you should use screw connectors or insulate the exposed wires too. Also, use something with over-current protection, such as a extension power board with integrated circuit breaker. Otherwise, you will likely trip a power circuit breaker if the motor has a significant short.
If you don't have anything at hand for over-current protection then you could use something like a portable electric heater or other similar simple high power appliance. A heater with a high/medium/low setting would be convenient as the current limiting amount would be controllable. A dead short will not take out a circuit breaker either. Make a test lead with a power plug and two sockets and wire the sockets in series. One socket will be for the current limiting device and the other socket for a plug/lead to the fan motor under test. An appliance that is rated at around 1500-2000W would be fine. If the motor is faulty then the appliance used for current limiting will power up/work and the voltage to the motor will be low. If the motor is good then the reverse will be true.
The power connections to the motor are straight forward. Neutral (blue) from the test lead to Neutral (blue) on the motor. Active (Brown) on the test lead to one of the speed wires only. I would start by testing on the lowest speed first. If the motor seems to work fine then test the next speed up, then progress to high speed. If the motor is faulty it may still appear to run normally, but will be drawing excessive current and will eventually overheat.
Also consider that the motor will draw more current than rated when it is outside of the unit (no static pressure). You could face the blowers downwards against a floor, if it seemed to work normally and you wanted to test for a longer period of time.
Lastly, seriously consider your safety before testing. That is, both electrical and mechanical safety. Eg. if the motor does spin-up, the fans will be blowing air which could cause the assembly to turn or flip, taking out your test wiring and causing everything to crash and tumble... depending on how you set everything up. You obviously have ability, since you removed the fan assembly and got to this point. However, since you're asking how to test the motor, it is reasonable to consider that you may not be aware of other potential risks to your safety.