
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 inequality system about $x$: $\left\{\begin{array}{l}{x-3m＜0}\\{n-2x＜0}\end{array}\right.$, and the solution set is $-1 \lt x \lt 3$, then $ \left(m+n\right)^{2023}=\_\_\_\_\_\_.$

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