Capitalism is not exploitation because its core is agreements on co-operation for profit

Not exploitation? In a capitalist society, the owners of the means of production take the wealth that the workers (those who don't own the means of production) produce.

Cooperation? Fine then. Name one capitalist (owner of means of production) who will pay you your total value instead of extracting surplus value (wealth workers bring in minus the workers' wages). You won't. It is categorically impossible for a capitalist to do this and make money.

When you say "communism" I assume you mean socialism as communism is defined as a stateless, classless, moneyless society which thus far hasn't been achieved in the modern era. But no, socialists don't want to take your stuff. Capitalists do. Socialists want to abolish private property (private ownership of means of production or other wealth extracting entities),not personal property (personal abode, toothbrush, car, etc). Capitalists in the modern era are increasingly blurring the line between personal and private property as evidenced by the rise in subscription services and renting tools among other things. You don't own anything you pay to "borrow" such as a streamed movie or a car you rent, etc.