
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 triangular pyramid \( S-ABC \) with a base that is an isosceles right triangle with \( AB \) as the hypotenuse, \( SA = SB = SC = 2 \), and \( AB = 2 \), suppose points \( S, A, B, C \) are all on a sphere with center \( Q \). Find the distance from point \( O \) to the plane \( ABC \).

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