
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 polar coordinate system with its pole at the origin $O$ of the rectangular coordinate system, its polar axis on the positive half of the $x$-axis, and both coordinate systems having equal length units, the parametric equations of line $l$ are given by $ \begin{cases} x=2-t \\ y=-1+t \end{cases} (t \text{ is the parameter})$, and the polar equation of curve $C$ is given by $ρ\sin ^{2}θ=4\cos θ$.
(I) Find the rectangular equation of curve $C$;
(II) Suppose line $l$ intersects curve $C$ at points $A$ and $B$, and point $P(2,-1)$ is on line $l$, find the length of line segment $|AB|$.

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