
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
Maria wrote the digits $1$, $2$, $3$, $4$, $5$, and $6$ in order repeatedly from left to right, forming a list of $12,000$ digits, beginning $123456123456\ldots.$ She then erased every fourth digit from her list (that is, the $4$th, $8$th, $12$th, $\ldots$ digits from the left), then erased every fifth digit from the resulting list (that is, the $5$th, $10$th, $15$th, $\ldots$ digits from the left in what remained), and finally erased every sixth digit from what remained at that point. What is the sum of the three digits that were then in the positions $3000, 3001, 3002$?
A) 4
B) 5
C) 6
D) 7

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