
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 a real number $a$ satisfying $a > 0$ and $a \ne 1$, let proposition $p$ be: the function $y=\log_{a}(x+1)$ is monotonically decreasing in $(0,+\infty)$; let proposition $q$ be: the curve $y=x^{2}+(2a-3)x+1$ intersects the axis at two distinct points. If "either $p$ or $q$" is true and "both $p$ and $q$" is false, find the range of values for $a$.

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