
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 set operation: $A\oplus B=\{\left(x,y\right)|\frac{x}{2}\in A$,$\frac{2}{y}\in B\}$, where $A=B=\{x\in N\left|\right.1 \lt x \lt 4\}$ and $C=\{\left(x,y\right)|y=-\frac{1}{6}x+\frac{5}{3}\}$, determine the set $\left(A\oplus B\right)\cap C$.

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