
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 propositions p: The point M(1,3) is not inside the circle $(x+m)^2 + (y-m)^2 = 16$,  
q: "The curve $C_{1}: \frac{x^2}{m^2} + \frac{y^2}{2m+8} = 1$ represents an ellipse with foci on the x-axis",  
s: "The curve $C_{2}: \frac{x^2}{m-t} + \frac{y^2}{m-t-1} = 1$ represents a hyperbola".  
(1) If "p and q" is a true proposition, determine the range of possible values for m;  
(2) If ¬s is a necessary but not sufficient condition for ¬q, determine the range of possible values for t.

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