
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 that point $A(1,0)$, and point $B$ lies on the curve $G: y=\ln(x+1)$. If line segment $AB$ intersects with curve $M: y=\frac{1}{x}$ and the intersection point is precisely the midpoint of line segment $AB$, then $B$ is called a related point of curve $G$ with respect to curve $M$. Let $n$ denote the number of related points of curve $G$ with respect to curve $M$. Find $n$.

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