
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 the function $f(x) = \log(2 - x) + 1 (m > 0, m \neq 1)$, whose graph always passes through point $P$, and point $P$ is on the line $ax + by = 1$, where $a, b \in \mathbb{R}$, find the maximum value of $ab$.

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