
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 \\(p\\): \\(x \in A = \{x | x^2 - 2x - 3 \leqslant 0, x \in \mathbb{R}\}\\), \\(q\\): \\(x \in B = \{x | x^2 - 2mx + m^2 - 4 \leqslant 0, x \in \mathbb{R}, m \in \mathbb{R}\}\\)  
\\((1)\\) If \\(A \cap B = [0,3]\\), find the value of the real number \\(m\\);  
\\((2)\\) If \\(p\\) is a sufficient condition for \\(\neg q\\), find the range of values for the real number \\(m\\).

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