
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 a line $l$ that passes through the point $P(2,1)$ and intersects the positive $x$-axis and $y$-axis at points $A$ and $B$ respectively, with $O$ being the origin of the coordinates, the minimum area of triangle $\triangle OAB$ is ______.

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