
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 circle \\(⊙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 of \\(⊙O\\) is \_\_\_\_\_\_.

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