
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 function $f(x) = A\cos(\omega x + \varphi) + B$, where $A > 0$, $\omega > 0$, $|\varphi| < \pi$, $1 \leq x \leq 12$, and $x \in \mathbb{N}$, the sales of ice cream at this supermarket reach their maximum in August with a value of $8500$ and their minimum in February with a value of $500$. Determine the number of months in the year when the sales of ice cream at this supermarket are not less than $6500$.

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