
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 parabola $y^{2}=2px\left(p \gt 0\right)$ with focus $F$ and the intersection point $E$ of its directrix with the $x$-axis, let line $l$ pass through $E$.<br/>$(1)$ If line $l$ is tangent to the parabola at point $M$, then $\angle EMF=$____.<br/>$(2)$ Let $p=6$. If line $l$ intersects the parabola at points $A$ and $B$, and $AB\bot BF$, then $|AF|-|BF|=$____.

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