Retirement tax questions

I found the first sentence confusing; double (or triple) negative.  Which also makes it unclear which pensions the second sentence applies to.  For example the first paragraph could have one sentence that read:

"A pension which is a distribution received by officers and employees of the United States, New York State, or local governments within New York State are fully exempt from New York State, New York City, and Yonkers income taxes."

 

TurboTax could make the choices on their page simpler/clearer it seems, with simpler help info.