
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
For real numbers $a$ and $b$, the operation "※" is defined as follows: $a$※$b=\left\{\begin{array}{l}\sqrt{{a^2}+{b^2}}(a≥b)\\ ab{}^{}(a＜b)\end{array}\right.$. If $m$ and $n$ satisfy the line $y=mx+n$ and the line passes through the points $M(\frac{4}{5},0)$ and $N\left(0,4\right)$, then $m$※$n=\_\_\_\_\_\_$.

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