
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 parameterized equation of line $l$ as $\begin{cases} x = -1 - \frac{3}{5}t \\ y = 2 + \frac{4}{5}t \end{cases}$ ($t$ is the parameter), establish a polar coordinate system with the origin as the pole, and the positive semi-axis of $x$ as the polar axis. The polar equation of curve $C$ is given by $\rho = 2 \sqrt{2} \cos \left( \theta - \frac{\pi}{4} \right)$.

(1) Find the general equation of line $l$ and the Cartesian equation of curve $C$;
(2) Assume line $l$ intersects curve $C$ at points $A$ and $B$, find the length $|AB|$.

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