
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 an ellipse $(Γ)$ with its center at the origin, a focal length of $2$, and a major axis that is $\sqrt {2}$ times the length of the minor axis.
(I) Find the standard equation of the ellipse $(Γ)$;
(II) Let $P(2,0)$, and let line $(l)$, passing through the left focus $F$ of ellipse $(Γ)$, intersect $(Γ)$ at points $A$ and $B$. If for any line $(l)$ that satisfies these conditions, the inequality $\overrightarrow{PA} \cdot \overrightarrow{PB} \leqslant λ (λ \in R)$ always holds, find the minimum value of $λ$.

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