
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 that point $P(x,y)$ is on curve $C$ with the parameter equation $ \begin{cases} x=2+ \sqrt {3}\cos θ \\ y= \sqrt {3}\sin θ \end{cases} (θ \text{ is the parameter, } θ∈R)$, establish a polar coordinate system with $O$ as the pole and the non-negative semi-axis of $x$ as the polar axis.
(1) Find the polar coordinate equation of curve $C$;
(2) If ray $θ= \frac {π}{4}(ρ≥0)$ intersects curve $C$ at points $A$ and $B$, find the value of $(|OA|+|OB|)$.

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