
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
A square has a side of length $s$. At each step, a new square is drawn by connecting the midpoints of the sides of the previous square. This process is repeated indefinitely. Calculate the sum of the perimeters of all the squares thus drawn.
A) $4s$
B) $6s$
C) $8s$
D) $10s$

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