
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
There are two scenic spots, $A$ and $B$, in a park, located on the same side of a straight path. They are $\sqrt{2}\text{km}$ and $2\sqrt{2}\text{km}$ away from the path, respectively, and the distance between scenic spots $A$ and $B$ is $2\text{km}$. Now, it is desired to set up a viewing point on this path so that when both scenic spots come into view at the same time, the best viewing and photographing effects are achieved. Where should the viewing point be set?

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