
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 rectangular coordinate system $(xOy)$, the equation of line $l$ is $x-y+2=0$. Establish a polar coordinate system with the origin $O$ as the pole and the positive half of the $x$-axis as the polar axis. The polar equation of curve $C$ is $\rho =2\sqrt{2}\cos (\theta +\dfrac{\pi }{4})$.
(I) Find the rectangular coordinate equation of curve $C$;
(II) Determine the positional relationship between line $l$ and curve $C$.

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