
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 the line $l$: $\begin{cases} x=-1+ \frac { \sqrt {3}}{2}t \\ y= \frac {1}{2}t\end{cases}$, where $t$ is a parameter that passes through point $P$, and the curve $C$ has a polar coordinate equation $ρ=2\sin θ$. If line $l$ intersects curve $C$ at points $A$ and $B$, find the value of $|PA| \cdot |PB|$.

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