
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
Let's consider a triangle $ABC$ with vertices $A = (-2,1)$, $B = (1,4)$, and $C$. The vertex $C$ is on the line $x + y = 6$. Calculate the area of triangle $ABC$.
A) 12
B) 13.5
C) 15
D) 16.5

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