
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 polar equation of curve C is $\rho=4\cos\theta$. Taking the pole as the origin of the Cartesian coordinate system and the polar axis as the non-negative half-axis of the x-axis, establish a Cartesian coordinate system. The parametric equation of line $l$ is $$\begin{cases} x= \frac { \sqrt {2}}{2}t+m \\ y= \frac { \sqrt {2}}{2}t \end{cases}$$ (t is the parameter).
(1) Convert the polar equation of curve C and the parametric equation of line $l$ into standard equations;
(2) If line $l$ intersects curve C at points A and B, and $|AB|= \sqrt {14}$, find the value of the real number $m$.

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