
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 polar coordinate system, given the line $l:\\rho =\\dfrac{2}{\\sin \\theta +\\cos \\theta }$ and the curve $C$:$\\rho=2m\\cos θ(m > 0)$.

(1) If $l$ and $C$ have a common point, find the range of values for $m$;

(2) $O$ is the pole, $A$ and $B$ are two points on the curve $C$, and $∠AOB=\\dfrac{{ }\\!\\!\\pi\\!\\!{ }}{4}$, find the maximum value of $|OA|+|OB|$.

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