
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
The parametric equation of line $l$ is $$\begin{cases} \left.\begin{matrix}x= \frac { \sqrt {2}}{2}t \\ y= \frac { \sqrt {2}}{2}t+4 \sqrt {2}\end{matrix}\right.\end{cases}$$ (where $t$ is the parameter). If the origin $O$ is the pole and the positive $x$-axis is the polar axis, and the polar equation of circle $C$ is $\rho=2\cos(\theta+ \frac {\pi}{4})$, when tangents are drawn from points on the line to the circle, the minimum length of the tangent is \_\_\_\_\_\_.

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