
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 globe with its center at the origin of a three-dimensional Cartesian coordinate system, there are two points on the surface of the globe, $A$ and $B$, with coordinates $A(1,2,2)$ and $B(2,-2,1)$, respectively. Calculate the distance $|AB|$.

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