
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 that Alice catches a unique ailment named Fibonaccitis and needs to take a course of three different pills – a red pill, a blue pill, and a yellow pill, over three weeks, and the blue pill costs $3 more than the red pill, and the yellow pill costs $2 less than twice the price of the red pill, find the cost of one blue pill given that the total expense for the pills over these three weeks amounts to $\textdollar 924$.

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