
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 sets A and B as defined, where $A = \{x | x^2 - 3x + 2 = 0\}$ and $B = \{y | y = x^2 - 2x + 3, x \in A\}$, determine the set $A \otimes B = \{x | x \in (A \cup B) \text{ and } x \notin (A \cap B)\}$.

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