
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=t+3\\y=3-t \end{cases}$ (where $t \in \mathbb{R}$), and the parametric equation of circle $C$ is $ \begin{cases} x=2\cos \theta \\y=2\sin \theta +2 \end{cases}$ (where $\theta \in [0,2π]$).
(1) Convert the parametric equations of line $l$ and circle $C$ into standard form;
(2) Calculate the distance from the center of the circle to line $l$.

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