
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
Triangle $ABC$ is inscribed in a rectangle of dimensions 6 units by 4 units. Vertex $A$ is at a height of 1 unit from the bottom left corner on the left side, vertex $B$ is at 3 units from the bottom right corner on the bottom side, and vertex $C$ is at 1 unit from the top right corner on the right side. What is the area of triangle $ABC$?

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