
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
Taking the origin O of the Cartesian coordinate system as the pole and the positive half-axis of the x-axis as the polar axis, a polar coordinate system is established. It is known that the polar equation of curve C is $\rho=1$, and the parametric equation of line $l$ is $$\begin{cases} x=1+ \frac {1}{2}t \\ y=2+ \frac { \sqrt {3}}{2}t \end{cases}$$ (where $t$ is the parameter).
(1) Find the Cartesian equations of line $l$ and curve $C$;
(2) Suppose curve $C$ undergoes a scaling transformation $$\begin{cases} x'=2x \\ y'=y \end{cases}$$ to obtain curve $C'$, and let any point on curve $C'$ be $M(x, y)$. Find the maximum value of $$x+2 \sqrt {3}y$$.

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