
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 point $P$ on the parabola $y^2 = 8x$ is at a distance of $9$ from its focus. Determine the coordinates of point $P$.

A) $\left(7, \pm \sqrt{14}\right)$
B) $\left(14, \pm \sqrt{14}\right)$
C) $\left(7, \pm 2\sqrt{14}\right)$
D) $\left(-7, \pm 2\sqrt{14}\right)$

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