
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 Angie, Bridget, Carlos, Diego, and Eliza are seated at random around a circular table with each person occupying one side, find the probability that Angie and Carlos are seated opposite each other, and Bridget is not sitting next to Carlos.

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