
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 two sets, $A = \{ x \mid x^2 - 2x - 3 \leq 0, x \in \mathbb{R} \}$ and $B = \{ x \mid x^2 - 2mx + m^2 - 4 \leq 0, x \in \mathbb{R} \}$,
(1) If $A \cap B = [1, 3]$, find the value of the real number $m$;
(2) If $A$ is a subset of the complement of $B$ in the real numbers, find the range of values for the real number $m$.

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