
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
A point \( C \) is fixed at \( (0, d) \) on the parabola \( y = 4x^2 \). For all chords \( \overline{AB} \) of this parabola passing through \( C \), it is known that:
\[ t = \frac{1}{AC} + \frac{1}{BC} \]
is a constant. Determine the value of the constant \( t \).

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