
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
Given the parametric equations of line $l$ are $$\begin{cases} x= \frac { \sqrt {2}}{2}t \\ y= \frac { \sqrt {2}}{2}t+4 \sqrt {2} \end{cases}$$ (where $t$ is the parameter), and the polar equation of circle $C$ is $\rho=4\cos\left(\theta+ \frac {\pi}{4}\right)$.  
(Ⅰ) Find the Cartesian coordinates of the center of circle $C$;  
(Ⅱ) A tangent line is drawn from a point on line $l$ to circle $C$. Find the minimum length of the tangent line.

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