
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
Given points A(1, 0, 2) and B(1, -3, 1) in the three-dimensional Cartesian coordinate system, and point M located on the y-axis, such that the distance from M to A is equal to the distance from M to B, determine the coordinates of point M.

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