
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 polar coordinate system with the origin as the pole and the positive x-axis as the polar axis, where the same unit of length is used for both the polar and Cartesian coordinate systems. The polar equation of circle C is $$\rho=4\cos\theta$$. The parametric equations for line l are $$\begin{cases} x=-2- \sqrt {2}t \\ y=3+ \sqrt {2}t \end{cases}$$ (with parameter t). The distance from the center of circle C to line l is __________.

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