
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
Lucy has a garden divided into distinct shaped regions: a rectangle, a right triangle, and a semi-circle. She plans to plant different types of flowers in each region, with each flower covering one square foot. She has the following flowers available with associated costs per flower: Roses at $\$2$ each, Tulips at $\$2.50$ each, and Daisies at $\$3$ each. The rectangle is 8 feet by 3 feet, the right triangle has base 4 feet and height 3 feet, and the semi-circle has a diameter of 6 feet. What is the least possible cost, in dollars, for her to plant flowers in all regions of her garden?

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