
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 two circles $⊙O$ and a point $P$ inside $⊙O$, a line passing through $P$ intersects $⊙O$ at points $A$ and $B$. If $PA \cdot PB = 24$ and $OP = 5$, then the radius $r$ of $⊙O$ is ______.

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