
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
In the Cartesian coordinate system $xOy$, the curve $l$ has the parametric equations $\begin{cases} x=2-3t \\ y=-1+ \dfrac {3}{2}t\end{cases} (t \text{ is the parameter})$. Taking the origin $O$ as the pole and the positive half of the $x$-axis as the polar axis, a circle $C$ has the polar equation $\rho=2 \sqrt {2}\cos (\theta- \dfrac {\pi}{4})$.
$(1)$ Find the standard equation of line $l$ and the Cartesian equation of circle $C$;
$(2)$ Assume line $l$ intersects circle $C$ at points $A$ and $B$, find the length $|AB|$.

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