
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
Let \( T \) be the sum of all positive real numbers \( y \) for which
\[
y^{2^{\sqrt{3}}} = \sqrt{3}^{2^y}.
\]
A) \( T = 3 \)
B) \( 3 < T < 4 \)
C) \( 4 < T < 7 \)
D) \( T \geq 7 \)
E) \( T = 2\sqrt{3} \)

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