
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 points $A(-2, -3)$ and $B(5, 3)$ on the $xy$-plane, find the point $C(x, n)$ such that $AC + CB$ is minimized, where $x = 2$. Find the value of $n$.
A) $\frac{6}{7}$
B) $\frac{12}{7}$
C) $6.5$
D) $\frac{25}{6}$
E) $\frac{13}{2}$

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