
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 the line of sight from point A to point B is not blocked by curve C.

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