
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
Define the operation $a\otimes b=a\left(1-b\right)$. Several conclusions about this operation are given below:  
① $2\otimes \left(-2\right)=6$;  
② $a\otimes b=b\otimes a$;  
③ If $a+b=0$, then $\left(a\otimes a\right)+\left(b\otimes b\right)=2ab$;  
④ If $a\otimes b=0$, then $a=0$.  
Among the correct conclusions, the correct numbers are ____ (fill in the numbers of all correct conclusions on the blank line).

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