
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
If a three-digit number has the property that the absolute difference between any two adjacent digits does not exceed $1$, then it is called a "stable number." If the three digits $1$, $2$, and $3$ are randomly arranged to form a three-digit number with no repeated digits, determine the probability that it is a "stable number".

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