
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 that $A(2,0)$, $M$ is the right focus of the ellipse $C$: $\frac{x^{2}}{a^{2}}+y^{2}=1$ (where $a > 1$), and $P$ is a moving point on the ellipse $C$.
(I) If $M$ coincides with $A$, find the eccentricity of the ellipse $C$;
(II) If $a=3$, find the maximum and minimum values of $|PA|$.

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