
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 a line _\\(l\\)_ passing through the point \\(P(-1,2)\\) and having an inclination angle of \\( \dfrac{2π}{3} \\), and the equation of the circle is \\(\rho=2\cos (\theta+ \dfrac{π}{3}) \\).
\\((1)\\) Find the parametric equation of the line _\\(l\\)_;
\\((2)\\) Suppose the line _\\(l\\)_ intersects the circle at points \\(M\\) and \\(N\\), find the value of \\(|PM|\cdot|PN|\\).

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