
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 in the Cartesian coordinate system $xOy$, the equation of curve $C$ is $(x-2)^{2}+(y-l)^{2}=4$, and the line $l$ passes through point $P(3, \sqrt {3})$ with an inclination angle of $\dfrac {\pi}{6}$. Establish a polar coordinate system with $O$ as the pole and the positive half-axis of $x$ as the polar axis.  
(Ⅰ) Write the polar equation of curve $C$ and the parametric equation of line $l$;  
(Ⅱ) Suppose line $l$ intersects curve $C$ at points $A$ and $B$, find the value of $|OA|⋅|OB|$.

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