
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 curve $C$ is $((x+1)^2+(y+2)^2=9)$. In the polar coordinate system with the origin as the pole and the positive $x$-axis as the polar axis, the line $l$ is given by $\sqrt{2}\rho\sin (θ−\dfrac{\pi }{4})=m (m\in\mathbb{R})$.

(I) Find the parametric equation of curve $C$;

(II) If the distance from the point $(1,−2)$ to line $l$ in the rectangular coordinate system is equal to $2$, find the value of the real number $m$.

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