
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 parametric equations of the curve $C\_1$ are $ \begin{cases} x=2- \sqrt {2}t \\ y=-1+ \sqrt {2}t \end{cases} (t \text{ is the parameter})$, and the polar coordinate equation of the curve $C\_2$ with the origin $O$ as the pole and the positive semi-axis of $x$ as the polar axis is $ρ=2\cos (θ+ \dfrac {π}{4})$.
(1) Determine the positional relationship between the curve $C\_1$ and the curve $C\_2$;
(2) If point $M(x,y)$ is any point on the curve $C\_2$, find the maximum value of $2x+y$.

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