
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 line $l$ is 
$$
\begin{cases} 
x= \frac { \sqrt {3}}{2}t+m \\
y= \frac {1}{2}t
\end{cases}
$$
($t$ is the parameter). Taking the origin as the pole and the positive half-axis of $x$ as the polar axis, if the polar equation of circle $C$ is $\rho=4\cos\theta$ and line $l$ is tangent to circle $C$, find the value of the real number $m$.

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