
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, the parametric equation of line $l$ is $\begin{cases} & x=t+3 \\ & y=3-t \\ \end{cases}$ (parameter $t\in\mathbb{R}$), and the parametric equation of circle $C$ is $\begin{cases} & x=2\cos \theta \\ & y=2\sin \theta +2 \\ \end{cases}$ (parameter $\theta\in[0,2\pi))$. Then, 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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