
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 curve $C: y = 2x^2$, point $A(0, -2)$ and point $B(3, a)$, determine the range of the real number $a$ such that point $B$ can be observed from point $A$ without the curve $C$ obstructing the view.

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