
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 isosceles triangle $ABC$ with $AB = AC$, vertex $A$ has been creased and folded so that vertex $A$ now rests at $A'$ on $\overline{BC}$. If $BA' = 2$ and $A'C = 3$, find the length of the crease $\overline{PQ}$.

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