
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 line $l$: $mx-y+1-m=0$, where $m\in \mathbb{R}$, if line $l$ passes through the focus of the parabola $y^{2}=8x$, then $m=\boxed{\_\_\_\_\_\_}$; at this time, the length of the chord $|AB|$ cut by the circle $(x-1)^{2}+(y-1)^{2}=6$ on line $l$ is $\boxed{\_\_\_\_\_\_}$.

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