
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 a Cartesian coordinate system in space, points A(1, 0, 0), B(0, 1, 0), and C(1, 1, 0), calculate the distance from point P(x, y, 3) to plane ABC.

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