
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 rectangular coordinate system $(xOy)$, the parametric equations of line $l$ are: $\begin{cases} x=2+t\cos α \\ y= \sqrt {3}+t\sin α\end{cases}$ ($t$ is a parameter, where $0 < α < \dfrac {π}{2}$), the parametric equations of ellipse $M$ are: $\begin{cases} x=2\cos β \\ y=\sin β\end{cases}$ ($β$ is a parameter), and the standard equation of circle $C$ is $((x-1)^{2}+y^{2}=1)$.
(1) Write the general equation of ellipse $M$;
(2) If line $l$ is a tangent line to circle $C$ and intersects ellipse $M$ at points $A$ and $B$, find the length of chord $AB$.

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