
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 parametric equation of curve $C_{1}$ is $\begin{cases} x=\cos \alpha \\ y=\sin \alpha \end{cases}$ ($\alpha$ is the parameter), in the polar coordinate system with the origin $O$ as the pole and the positive half-axis of $x$ as the polar axis, the polar equation of curve $C_{2}$ is $\rho\cos (\theta- \frac {\pi}{4})=- \frac { \sqrt {2}}{2}$, and the equation of curve $C_{3}$ is $\rho=2\sin \theta$.  
$(1)$ Find the Cartesian coordinates of the intersection point $M$ of curve $C_{1}$ and curve $C_{2}$;  
$(2)$ Suppose points $A$ and $B$ are moving points on curves $C_{2}$ and $C_{3}$ respectively, find the minimum value of $|AB|$.

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