
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 the complex numbers ${z_1}=1-i$ and ${z_2}=\sqrt{3}+i$, where $i$ is the imaginary unit, find the imaginary part of $\frac{\overline{z_1}}{z_2}$. The options are:
A) $\frac{1+\sqrt{3}}{4}i$
B) $\frac{1+\sqrt{3}}{4}$
C) $\frac{\sqrt{3}-1}{4}i$
D) $\frac{\sqrt{3}-1}{4}$

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