
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
A specialty coffee shop is introducing a new premium coffee blend priced at $18 per bag. They are offering a discount of $3 and 15% off to promote this new blend. As a coffee enthusiast, you realize that the final price will vary depending on the sequence of discounts applied. How much more can you save by choosing the optimal discount sequence?

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