
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
There is a sufficiently deep tank with a rectangular bottom measuring 16 cm in length and 12 cm in width. Originally, the tank contains 6 cm deep water and 6 cm deep oil (the oil is above the water). If an iron block with dimensions 8 cm in length, 8 cm in width, and 12 cm in height is placed into the tank, what will be the height of the oil layer?

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