
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 how many distinct ways can you arrange six keys on a keychain, if you want your house key next to both your car key and a new shed key, considering these three have to be adjacent? Two arrangements are not considered different if the keys can be rotated or reflected into each other.

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