
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 a line $l$ passing through point $P(2,0)$ with a slope of $\frac{4}{3}$, the line $l$ intersects the parabola $y^{2}=2x$ at points $A$ and $B$. Let $M$ be the midpoint of segment $AB$. Find:
1. The coordinates of point $M$.
2. The length of segment $|AB|$.

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