
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
A sequence $\{a\_n\}$ satisfies the equation $a\_1 + a\_2 + a\_3 + ... + a\_n = 2n - a\_n, (n \in \mathbb{N}^+)$. Another sequence $\{b\_n\}$ is defined as $b\_n = \frac{2-n}{2}(a\_n - 2)$. Determine the maximum value in sequence $\{b\_n\}$.

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