
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
Triangle $ABC$ has sides $AB = 12$, $BC = 18$, and $AC = 15$. The points $D, E$, and $F$ are positioned such that $AD = 4$, $BE = 12$, and $CF = 10$. Let $N$ be a point different from $E$ on the circumcircle of triangle $BDE$ where the chords $BN$ and $ED$ intersect at point $P$ such that $\angle BPD = 90^\circ$. Find the value of $\angle BND$.
A) $30^\circ$
B) $45^\circ$
C) $90^\circ$
D) $60^\circ$

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