
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
The function $f(x)=\ln({\sqrt{{x^2}+1}-x})+\frac{{3{e^x}+1}}{{{e^x}+1}}$ for $-2 \leq x \leq 2$. Let the maximum value of the function $f(x)$ be $M$ and the minimum value be $N$. Find the value of $M+N$.

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