
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
In the geometric sequence $\{a\_n\}$, $a\_1 = 8$. The sequence $\{b\_n\}$ satisfies $b\_n = \log\_2 a\_n$, and $b\_1 + b\_2 + b\_3 = 15$.

1. Find the general term formula for the sequence $\{a\_n\}$.
2. Let $S\_n$ denote the sum of the first $n$ terms of the sequence $\{b\_n\}$. Find the sum $T\_n$ of the first $n$ terms of the sequence $\left\{\frac{1}{S\_n}\right\}$.

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