
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 line $l$ passes through point $M(1,2)$ with a slope angle of $\frac{\pi}{3}$. Using the coordinate origin $O$ as the pole and the positive semi-axis of the $x$-axis as the polar axis, establish a polar coordinate system. The circle $C$ is defined as $ρ=6\cos θ$. If line $l$ intersects circle $C$ at points $A$ and $B$, find the value of $MA \cdot MB$.

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