
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 $B(3, 1)$ in the $xy$-plane; point $C(x, m)$ is taken so that the sum of the distances $AC+CB$ is minimal, where $x=0$. Determine the value of $m$.
A) $-\frac{6}{5}$
B) $-\frac{7}{5}$
C) $-\frac{8}{5}$
D) $-\frac{9}{5}$

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