
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 the tetrahedron \(ABCD\), \(AB\perp BC\), \(CD \perp BC\), \(BC=2\), and the angle between the skew lines \(AB\) and \(CD\) is \(60^\circ\). If the circumradius of the tetrahedron \(ABCD\) is \(\sqrt{5}\), then find the maximum volume of this tetrahedron.

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