
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 set $A = \{ x \mid \frac {6}{x+1} \geq 1, x \in \mathbb{R} \}$, $B = \{ x \mid x^2 - 2x - m < 0 \}$.  
(1) When $m = 3$, find $A \cap (\mathbb{C}_R B)$;  
(2) If $A \cap B = \{ x \mid -1 < x < 4 \}$, find the value of the real number $m$.

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