
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 $\begin{cases}x=1+ \frac{1}{2}t \\ y=-3 \sqrt{3}+ \frac{ \sqrt{3}}{2}t\end{cases}$ (where $t$ is a parameter) intersects the circle $x^{2}+y^{2}=16$ at points $A$ and $B$. Find the coordinates of the midpoint of $AB$.

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