
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 curve $C$: $\begin{cases}x=2+\cos θ \\\\ y=\sin θ\end{cases} (θ$ as the parameter $)$, and the line $l$: $\begin{cases}x=1+3t \\\\ y=2-4t\end{cases} (t$ as the parameter $)$, they intersect at points $A$ and $B$. Calculate the length $|AB|$.

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