
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 $q$: $p$: $y=(3-2a)^{x}$ is a monotonically increasing function on $\mathbb{R}$; $q$: The domain of $g(x)=\log (x^{2}+2ax+4)$ is $\mathbb{R}$. If "$p \vee q$" is a true proposition and "$p \wedge q$" is false, find the range of values for the real number $a$.

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