
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 that five rabbits—Nina, Tony, Fluffy, Snowy, and Brownie—are to be distributed to four different pet stores, where Nina and Tony are siblings, and the other three are unrelated, determine the number of different arrangements in which no store has both Nina and Tony simultaneously, and each store can have at most two rabbits.

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