
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 batch of products, among which there are $12$ genuine items and $4$ defective items. If $3$ items are randomly selected with replacement, and $2$ points are awarded for each defective item selected, let $Y$ represent the score obtained, then $D(Y)=$\_\_\_\_\_\_\_\_.

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