
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
At Lakeview High School, the $135$ students who participate in the Math Circle meet fortnightly to prepare for the Math Olympiad and consume an average of three cookies each. Paul and Harriet are planning to make Auntie Anne's Famous Square Cookies this time. Their recipe, which yields a tray of $18$ cookies, includes:

$\bullet$ $2$ cups of flour

$\bullet$ $3$ eggs

$\bullet$ $4$ tablespoons of butter

$\bullet$ $1$ cup of sugar

$\bullet$ $1$ packet of chocolate chips

They decide to only prepare full recipes, avoiding any partial recipes.

On the day of the event, they anticipate a $40\%$ decrease in attendance due to overlapping science fair events. How many recipes of cookies should they prepare for the reduced number of attendees?

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