
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 $f(x)$ is an odd function defined over the real number set $\mathbb{R}$, and for all $x \in \mathbb{R}$, $f(x-2)=f(x+2).$ When $x \in (0, 2)$, $f(x) = x^2.$ Evaluate $f\left( \frac{13}{2} \right)$.

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