
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
Consider a function $f(x) = \lg(x^2 - x - 2)$ whose domain is a set $A$, and another function $g(x) = \sqrt{3 - |x|}$ whose domain is a set $B$.  
(1) Determine the intersection $A \cap B$.  
(2) If $C = \{x | m - 1 < x < m + 2\}$ and $C \subseteq B$, find the range of values for the real number $m$.

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