
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 the parametric equation of curve C is $\begin{cases} x = \sqrt{3}\cos a \\ y = \sin a \end{cases}$ (where $a$ is the parameter)

1. Convert the parametric equation of C into a general form.
2. In the rectangular coordinate system $xOy$, $P(0,2)$, with the origin $O$ as the pole and the positive semi-axis of $x$ as the polar axis, establish a polar coordinate system. The polar equation of line $l$ is $p\cos θ + \sqrt{3}p\sin θ + 2\sqrt{3} = 0$. $Q$ is a moving point on $C$. Find the minimum distance from the midpoint $M$ of segment $PQ$ to line $l$.

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