
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 the quadratic function $y=3\left(x+1\right)^{2}-8$ with points $A\left(1,y_{1}\right)$, $B\left(2,y_{2}\right)$, $C\left(-2,y_{3}\right)$ on its graph, determine the relationship between $y_{1}$, $y_{2}$, and $y_{3}$.

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