
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 tetrahedron $S-ABC$ satisfying $SA \perp SB$, $SB \perp SC$, and $SC \perp SA$ with $SA = SB = SC = 2$, let $Q$ be a moving point on the circumscribed sphere of the tetrahedron $S-ABC$. Find the maximum distance from point $Q$ to plane $ABC$.

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