
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
The line $y=- \frac { \sqrt {3}}{3}x+1$ intersects the x-axis and y-axis at points A and B, respectively. An equilateral triangle $\triangle ABC$ is constructed with AB as one side in the first quadrant. If there is a point $P(m, \frac {1}{2})$ in the first quadrant such that the area of $\triangle ABP$ is equal to the area of $\triangle ABC$, find the value of $m$.

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