
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 $f\left(x\right)=-x^{3}+3x+a$, $a\in R$, if there exist three distinct real numbers $m$, $n$, $p$ such that $f\left(m\right)=f\left(n\right)=f\left(p\right)=2022$, then the range of real number $a$ is ______.

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