
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
Definition: In a plane, two lines $l_{1}$ and $l_{2}$ intersect at point $O$. For any point $M$ in the plane, if $p$ and $q$ are the distances from $M$ to the lines $l_{1}$ and $l_{2}$ respectively, then the ordered pair of non-negative real numbers $\left(p,q\right)$ is called the "distance coordinates" of point $M$. According to the above definition, the number of points with "distance coordinates" $\left(0,2\right)$ is ______.

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