
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 $f(x)=\ln x + \frac{m}{x}$, where $m$ is a real number,
(1) If the tangent line of the curve $y=f(x)$ at the point $(1, f(1))$ intersects the y-axis at a point with ordinate 1, find $m$.
(2) Discuss the intervals of monotonicity for the function $f(x)$.
(3) If for any $b>a>0$, $\frac{f(b)-f(a)}{b-a}<1$ always holds, determine the range of values for $m$.

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