the official Bitcoin website.
Bitcoin is decentralized so there is no such thing as "official" anything in this world.
There is only a reference implementation that is the most popular implementation of the Bitcoin protocol and it is called bitcoin core and is found on bitcoin.org (and bitcoincore.org).
a number of full BTC nodes confirm the transaction independently of each other.
The work if verify not confirm. Confirmation is the process of including a transaction in a block and mining it that can only be done by miners.
Your whole explanation of how nodes work is a little weird though.