
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
If $O$ is the coordinate origin, and the line $l$ passing through point $P(1,1)$ intersects the graph of the function $f(x)=\frac{{2}^{x+1}}{{2}^{x}-2}$ at points $A$ and $B$, then $(\overrightarrow{OA}+\overrightarrow{OB})\cdot \overrightarrow{OP}=\_\_\_\_\_\_$.

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