
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
In the polar coordinate system, there are points $A( \sqrt {3}, \dfrac {\pi}{6})$ and $B( \sqrt {3}, \dfrac {\pi}{2})$, and a curve $C:ρ=2\cos (θ- \dfrac {π}{3})\;(ρ\geqslant 0)$. Establish a rectangular coordinate system with the pole as the coordinate origin and the polar axis as the positive semi-axis of the x-axis.
(I) Find the rectangular coordinates of points $A$ and $B$, and the parametric equation of curve $C$ in the rectangular coordinate system.
(II) Let point $M$ be a moving point on curve $C$. Find the range of values for $|MA|^{2}+|MB|^{2}$.

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