
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
Let $a \oplus b$ represent the operation on two numbers, $a$ and $b$, which computes $a + b - \min(a, b)$, and let $a \otimes b$ represent the operation which is defined as $a \cdot b + \max(a, b)$. Given that $a = 3$, $b = 5$, and $c = 2$, determine the value of $(a \oplus b) \otimes c$.
A) 10
B) 13
C) 15
D) 17

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