
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given that $F$ is the focus of the parabola $C$: $y^{2}=12x$, and $M$ is a point on $C$. The extension line of $FM$ intersects the $y$-axis at point $N$. If $M$ is the midpoint of $FN$, then the length of $FN$ is \_\_\_\_\_\_.

Present the answer in LaTex format: \boxed{Your answer}
user