
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 the focus of the parabola $y^{2}=8x$ is $F$, point $M$ lies on the parabola (other than the vertex), $\overrightarrow{OM}=2\overrightarrow{ON}$ (where point $O$ is the origin), and a line passing through point $N$ perpendicular to line $OM$ intersects the $x$-axis at point $P$. Find $2|OP|-|MF|$.

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