
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 a complex number $z$ whose real part is $a(a < 0)$ and imaginary part is $1$, with a magnitude of $2$, and $\overline{z}$ is the conjugate of $z$, calculate the value of $\dfrac{1+\sqrt{3}i}{\overline{z}}$.

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