
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 a rhombus ABCD with side length 2 and ∠B = π/3, point P satisfies \overrightarrow{AP} = λ\overrightarrow{AB}, λ ∈ ℝ. If \overrightarrow{BD} · \overrightarrow{CP} = -3, calculate the value of λ.

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