
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 triangle $\triangle ABC$, the opposite sides of angles $A$, $B$, and $C$ are $a$, $b$, and $c$ respectively, and $\sqrt{3}b\cos A - a\sin B = 0$. $D$ is the midpoint of $AB$, $AC = 2$, and $CD = 2\sqrt{3}$. Find:

$(Ⅰ)$ The measure of angle $A$;

$(Ⅱ)$ The value of $a$.

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