
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 the function $H(x)$ represented by the graph below, calculate $H(H(H(H(H(2))))))$. The graph is defined by the equation $y = H(x)$ and the points $(2, -4)$, $(-4, 6)$, and $(6, 6)$ are marked on the graph.

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