
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
Rectangle $ABCD$ has $AB=CD=4$ and $BC=DA=3$. The rectangle undergoes three successive 90$^\circ$ clockwise rotations: the first about point $D$, the second about the new position of point $C$ after the first rotation, and the third around the new position of point $B$ after the second rotation. Compute the total path length traveled by point $A$.
A) $6\pi$
B) $7\pi$
C) $8\pi$
D) $9\pi$

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