
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 $f\left(x\right)=a^{x-1}-2\left(a \gt 0,a\neq 1\right)$ always passes through the fixed point $M\left(m,n\right)$, determine the quadrant in which the graph of the function $g\left(x\right)=m+x^{n}$ does not pass.

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