
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 triangle $ABC$, where $\overrightarrow{AB} = 4\overrightarrow{i} + 3\overrightarrow{j}$ and $\overrightarrow{AC} = -3\overrightarrow{i} + 4\overrightarrow{j}$, with $\overrightarrow{i}$ and $\overrightarrow{j}$ being the basic unit vectors, find the area of triangle $ABC$.

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