
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 triangular pyramid \( S-ABC \), given \( SA=4 \), \( SB \geq 7 \), \( SC \geq 9 \), \( AB=5 \), \( BC \leq 6 \), \( AC \leq 8 \), find the maximum volume of the pyramid.

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