NASHVILLE, TENNESSEE — Just days after Tennessee announced it had a new manual for executing death row inmates, the state’s top prison officials said they aren’t going to release the document to the public. The Tennessee Department of Correction had told The Associated Press to file a public records request to obtain a copy of the latest execution manual, known as a protocol. However, the agency this week denied the AP’s request, saying it needs to keep the entire document secret to protect the identities of the executioner and other people involved. The decision to maintain secrecy differs from how