
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 curve $C$ with the polar coordinate equation $ρ=4\cos θ$. Establish a Cartesian coordinate system with the pole as the origin and the positive semi-axis of the polar axis as the $x$-axis. The parameteric equations of the line $l$ are: $ \begin{cases}x=m+ \frac { \sqrt {2}}{2}t \\ y= \frac { \sqrt {2}}{2}t\end{cases}(t\text{ is the parameter}) $.
(I) If line $l$ intersects curve $C$ at points $A$ and $B$, and $|AB|= \sqrt {14}$, find the value of the real number $m$.
(II) Let $M(x,y)$ be any point on curve $C$, find the range of values for $x+y$.

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