
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
The moving line $y=kx+4-3k$ intersects with the graph of the function $$f(x)= \frac {4x-11}{x-3}$$ at points A and B. Point P $(x, y)$ is a moving point on the plane satisfying $$|\overrightarrow{PA} + \overrightarrow{PB}|=2$$. The range of values for $x^2+y^2$ is \_\_\_\_\_\_.

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