
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
Given the progression $2^{\dfrac{1}{13}}, 2^{\dfrac{2}{13}}, 2^{\dfrac{3}{13}}, 2^{\dfrac{4}{13}},\dots , 2^{\dfrac{n}{13}}$. 
The least positive integer $n$ such that the product of the first $n$ terms of the progression exceeds $1,000,000$ is to be determined.
A) 21
B) 22
C) 23
D) 24

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