
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 the polar coordinate equation of curve $C$ is $ρ - 2\cos θ - 4\sin θ = 0$, establish a Cartesian coordinate system $xoy$ with the pole as the origin and the positive half of the polar axis as the $x$-axis. The parameteric equations of line $l$ are $x = \frac{\sqrt{3}}{2}t, y = 1 + \frac{1}{2}t$ (where $t$ is the parameter).
1. Convert the polar coordinate equation of curve $C$ to a Cartesian coordinate equation and convert the parameteric equations of line $l$ to a standard form.
2. If line $l$ intersects curve $C$ at points $A$ and $B$ and intersects the $y$-axis at point $M$, find the value of $(|MA| + |MB|)^2$.

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