
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 the function $f(x) = x^3 - 3x$,
(I) If the curve $y=f(x)$ has exactly one common point with the line $y=m$, find the range of values for $m$;
(II) Draw the tangent line to the curve $y=f(x)$ at point $P(2,-6)$, and find the equation of this tangent line.

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