
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
In triangle $\triangle ABC$, $AB=2$, $AC=3$, $\angle A=60^{\circ}$. If $P$ and $Q$ are points on sides $AB$ and $AC$ respectively, such that $\overrightarrow{AP}=λ\overrightarrow{AB}$ and $\overrightarrow{AQ}=(1-\frac{λ}{5})\overrightarrow{AC}$, find the maximum value of $\overrightarrow{BQ}⋅\overrightarrow{CP}$.

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