
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 $xOy$, with $O$ as the pole and the positive x-axis as the polar axis, establish a polar coordinate system. The polar equations of lines $l_{1}$ and $l_{2}$ are $\rho\sin (\theta+ \frac {\pi}{6})=1$ and $\theta= \frac {2\pi}{3}$ $(\rho\in\mathbb{R})$, respectively. Let the intersection point of lines $l_{1}$ and $l_{2}$ be $M$.  
$(1)$ Find the Cartesian coordinates of point $M$;  
$(2)$ Suppose a line passing through point $M$ with an inclination angle of $ \dfrac {\pi}{3}$ intersects the circle $x^{2}+y^{2}=7$ at two points $A$ and $B$. Calculate the value of $ \dfrac {1}{|MA|}+ \dfrac {1}{|MB|}$.

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