
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 that line $l\_1$ passes through point $(-2,0)$ with an angle of inclination of $30^{\circ}$, and line $l\_2$ passes through point $(2,0)$ while being perpendicular to line $l\_1$, find the coordinates of the intersection point of lines $l\_1$ and $l\_2$.

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