
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
Jenny writes the digits $1$, $2$, $3$, $4$, $5$, $6$ repeatedly from left to right, forming a list of $12,000$ digits, beginning $123456123456\ldots.$ She then erases every fourth digit from her list (the $4$th, $8$th, $12$th, $\ldots$ digits), then erases every fifth digit from the resulting list, and then erases every sixth digit from what remained at that point. What is the sum of the three digits that are then in the positions $3000, 3001, 3002$?
A) 6
B) 7
C) 8
D) 9
E) 10

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