
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 triangle \( \triangle ABC \) with sides \( AB = 5 \) and \( AC = 6 \), what should be the length of side \( BC \) in order for angle \( \angle ACB \) to be as large as possible? Provide the length of side \( BC \) rounded to the nearest whole number.

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