
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 the line $l$ is defined by $\left\{\begin{array}{l}{x=1+\frac{1}{2}t}\\{y=\frac{\sqrt{3}}{2}t}\end{array}\right.$ (where $t$ is a parameter) intersects the parabola $C:y^{2}=4x$ at points $A$ and $B$, with point $M(1,0)$, find the value of $|MA|+|MB|$.

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