
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(m,0)\\) with the parametric equation \\( \begin{cases} x=m+ \dfrac { \sqrt {3}}{2}t \\ y= \dfrac {1}{2}t\end{cases} \\) (where \\(t\\) is the parameter). Using the origin of the Cartesian coordinate system as the pole and the positive half-axis of \\(x\\) as the polar axis, a polar coordinate system is established. The polar equation of curve \\(C\\) is \\(\rho=2\cos \theta\\).  
\\((\\)I\\()\\) Find the general equation of line \\(l\\) and the Cartesian coordinate equation of curve \\(C\\);  
\\((\\)II\\()\\) If line \\(l\\) intersects curve \\(C\\) at two points \\(A\\) and \\(B\\), and \\(|PA|\cdot|PB|=2\\), find the value of the real number \\(m\\).

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