
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 that P is a moving point on the circle $⊙O: x^2 + y^2 = 1$, and the line segment AB is a moving diameter of the circle $⊙C: (x-3)^2 + (y-4)^2 = 1$ (where A and B are the endpoints of the diameter), then the range of values for $\overrightarrow{PA} \cdot \overrightarrow{PB}$ is \_\_\_\_\_\_.

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