
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
In a Cartesian coordinate plane \(xOy\), an ant moves from point \(P(-3, -3)\) to point \(Q(3, 3)\) according to the following rules:
1. Each move must increase either the x-coordinate by 1 or the y-coordinate by 1.
2. At any time, the coordinates \((x, y)\) of the point must satisfy \(|x| \geq 2\) or \(|y| \geq 2\).

How many different ways can the ant move from \(P\) to \(Q\)?

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