
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 $f\left(x\right)=\left(x+1\right)\ln x-ax+a$.  
$(Ⅰ)$ If the tangent line of the curve $y=f\left(x\right)$ at the point $\left(1,f\left(1\right)\right)$ has a slope of $\frac{π}{4}$, find the value of $a$.  
$(Ⅱ)$ If $f\left(x\right)$ is monotonically increasing on $\left(0,+\infty \right)$, find the maximum value of $a$.  
$(Ⅲ)$ Please directly state the number of zeros of $f\left(x\right)$.

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