
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
Find the coordinates of the point(s) on the line $\begin{cases} x=-2- \sqrt {2}t \\ y=3+ \sqrt {2}t \end{cases}\ (t\text{ is a parameter})$ that are at a distance of $\sqrt{2}$ from point A(-2, 3).

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