
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
If a quadratic equation in one variable $a(x+m)^2 = 3$ has two real roots $x_1 = -1$ and $x_2 = 3$, then find the coordinates of the intersection points of the parabola $y = a(x+m-2)^2 - 3$ with the x-axis.

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