
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 $a \otimes b = a(1-b)$. Below are four statements about this operation:  
$① 2 \otimes (-2) = 6$  
$② a \otimes b = b \otimes a$  
$③$ If $a+b=0$, then $(a \otimes a) + (b \otimes b) = 2ab$  
$④$ If $a \otimes b = 0$, then $a=0$.  
Among these, the correct statement(s) is/are __________ (fill in the sequence number(s) of all correct statements).

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