
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 that the domain of the function $f(x)= \sqrt{ \frac{x+1}{x-2} }$ is set $A$, and the domain of the function $g(x)= \sqrt{{x}^{2}-(2a+1)x+{a}^{2}+a}$ is set $B$.

(1) Find sets $A$ and $B$;

(2) If $A \cap B = A$, find the range of values for the real number $a$.

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