
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 for a geometric sequence $\{a_n\}$ with a common ratio not equal to $1$ satisfies $\log_{2}(a_{1} \cdot a_{2} \cdot \ldots \cdot a_{13}) = 13$, and an arithmetic sequence $\{b_n\}$ satisfies $b_{7}=a_{7}$, then the value of $b_{1} + b_{2} + \ldots + b_{13}$ is ______.

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