
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 point $P(2,1)$ and the line $l$ passing through it, the line intersects the graph of the function $f(x) = \frac{2x+2}{2x-4}$ at points $A$ and $B$. Let $O$ represent the origin. Calculate the value of $(\overrightarrow{OA} + \overrightarrow{OB}) \cdot \overrightarrow{OP}$.

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