
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 condition that the coordinates of point P, which is equidistant from two fixed points A(2, 3, 0) and B(5, 1, 0), must satisfy.

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