
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 function $y = 1 + \log_a(x + 6)$ ($a > 0$, $a \neq 1$), its graph passes through a fixed point $M$. A ray of light is shot along the line $l_1: 2x - y + 2 = 0$, reflects upon encountering the line $l: x + y + m = 0$, and the reflected ray passes through point $M$ along the line $l_2$. Find the value of $m$ and the equation of $l_2$.

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