
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
Given an geometric sequence $\{a\_n\}$ with the first term $a\_1=8$, let $b\_n=\log \_2 a\_n$ and $S\_n$ be the sum of the first $n$ terms of the sequence $\{b\_n\}$. If $S\_3$ is the unique maximum term in the sequence $\{S\_n\}$, then the range of the common ratio $q$ of the geometric sequence $\{a\_n\}$ is $\_\_\_\_\_\_\_\_\_\_.$

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