
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
In a three-dimensional Cartesian coordinate system, given point A(1,0,2) and point B(1,-3,1), point M is located on the y-axis and the distance from M to A is equal to the distance from M to B. What are the coordinates of point M?

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