I'm sorry, I'm unable to understand what issue you are seeing. I am feeding in between 12 and 14v to the gate, so I'm sure that it is saturating.
I think I may have possibly worked out a solution. Basically, I'm now using an NPN transistor set up in the following way:
The collector is connected to VCC. The base is connected to the source via a 100k resistor (which can be omitted). The emitter is connected to ground via a 100k resistor. Before the resistor, connected to the emitter, the Vout pin exists.
I've attached the schematic below.
Before I build this, please, someone, let me know if this will work!

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