
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 $p$ states that the exponential function $y={({a^2}-2a-2)}^x$ is an increasing function; Proposition $q$ states that $0 < a < 4$. If proposition $p$ is true and proposition $\neg q$ is true, find the range of values for the real number $a$.

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