
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
Find the area of the shaded region defined by the lines passing through points (0, 3) and (6, 3) for the first line, and points (0, 6) and (3, 0) for the second line, from \(x = 0\) to the intersection point.

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