
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
What is the perimeter of pentagon $ABCDE$ in this diagram? Assume the lengths of $AB$, $BC$, $CD$, $DE$ are 2, and $EA$ is calculated using the Pythagorean theorem. Assume the coordinates for $A$, $B$, $C$, $D$, $E$ are unchanged from the original problem.

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