
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 moving line passing through the fixed point $P(0,m)$ on the $y$-axis intersects the parabola $x^{2}=-16y$ at points $A$ and $B$. If $\dfrac {1}{|AP|^{2}}+ \dfrac {1}{|BP|^{2}}$ is a constant, then $m=$ ______.

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