
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 curve with parametric equations $\begin{cases} x=2\cos θ, \\\\ y=\sqrt{3}\sin θ \\end{cases}$ and its intersection points with the $x$-axis, $M$ and $N$. If $P$ is a point on the curve, find the product of the slopes of the lines containing $PM$ and $PN$.

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