
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 the spatial quadrilateral $ABCD$, let $P$, $Q$, and $R$ be the midpoints of $AB$, $BC$, and $CD$ respectively. Given that $PQ = 2$, $QR = 3$, and $PR = 3$, find the angle formed by the skew lines $AC$ and $BD$.

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