
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
In the three-dimensional Cartesian coordinate system $Oxyz$, if there is only one plane $\alpha$ such that the distance from point $A(2,2,2)$ to $\alpha$ is $1$, and the distance from point $B(m,0,0)$ to $\alpha$ is $4$, find the value of $m$.

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