
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

The sum of the lengths of all of the edges of rectangular prism \( ABCDEFGH \) is 24. If the total surface area of the prism is 11, determine the length of the diagonal \( AH \).

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