
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 that the positive term geometric sequence $\{a\_n\}$ satisfies $\log\_2 a\_{n+2} - \log\_2 a\_n = 2$, and $a\_3 = 8$, if the sequence $\{b\_n\}$ satisfies $b\_1 = 1$, $b\_n \cdot b\_{n+1} = a\_n$, then $b\_{11} + b\_{12} =$ \_\_\_\_\_\_.

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