
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
A line passing through the focus $F$ of the parabola $C:y^{2}=4x$ with a slope of $\sqrt{3}$ intersects $C$ at point $M$ (where $M$ is above the $x$-axis), and $l$ is the directrix of $C$. Point $N$ is on $l$ and $MN \perp l$. Calculate the distance from $M$ to the line $NF$.

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