
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
If \( y = \sqrt{3 + \sqrt{3 + \sqrt{3 + \cdots}}} \), determine the value of \( y \).
**A)** \( \frac{1 + \sqrt{13}}{2} \)  
**B)** \( \frac{1 - \sqrt{13}}{2} \)  
**C)** \( 2 \)  
**D)** \( 1 \)

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