
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 coordinates of points $A(3, 0)$, $B(0, -3)$, and $C(\cos\alpha, \sin\alpha)$, where $\alpha \in \left(\frac{\pi}{2}, \frac{3\pi}{2}\right)$. If $\overrightarrow{OC}$ is parallel to $\overrightarrow{AB}$ and $O$ is the origin, find the value of $\alpha$.

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