
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 $O$ is the coordinate origin, and points $A$ and $B$ lie on the ellipse $\frac{x^{2}}{4}+\frac{y^{2}}{3}=1$, with $|AB|=\frac{3}{2}$. The tangents to the ellipse at points $A$ and $B$ intersect at point $C$. Determine the range of the area of quadrilateral $OACB$.

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