
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 new operation "$\oplus$" defined as follows: when $a \geqslant b$, $a \oplus b = a$; when $a < b$, $a \oplus b = b^{2}$, find the maximum value of the function $f(x) = (1 \oplus x) + (2 \oplus x)$ over the interval $x \in [-2,3]$.

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