
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 propositions $p$ and $q$:

- Proposition $p$: The curve represented by the equation $\frac{x^{2}}{2-t} + \frac{y^{2}}{2+t} = 1$ is an ellipse with foci on the $x$-axis.
- Proposition $q$: The real number $t$ satisfies the inequality $t^{2} - (a+2)t + 2a < 0$.

1. Find the range of values for the real number $t$ if proposition $p$ is true.
2. If proposition $p$ being true is a sufficient but not necessary condition for proposition $q$ being true, find the range of values for the real number $a$.

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