
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
Let $A=\{m,-1,2\}$, where $m$ is a real number. Define $B=\{a^{3}|a\in A\}$, $C=A$⋃$B$. If the sum of all elements in $C$ is $9$, calculate the product of all elements in $C$.

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