
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 Cartesian coordinate system $xOy$, a polar coordinate system is established with the coordinate origin $O$ as the pole and the positive semi-axis of the $x$-axis as the polar axis. The polar equation of the curve $C$ is $ρ=2\sin⁡θ$, where $θ∈[0,2π)$.
(1) Find the rectangular equation of the curve $C$;
(2) Find a point $D$ on the curve $C$ such that its distance to the line $l$: $y=-\sqrt{3}x+5$ is the shortest, and find the rectangular coordinates of point $D$.

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