Charles Martin, writing for Apple Insider; Apple is significantly increasing prices for out-of-warranty battery replacements, this time for the iPhone 16 Pro models. The new cost of an out-of-warranty battery replacement for the two larger models of the latest iPhone is $119, up from the $99 cost for the iPhone 15 Pro and Pro Max. The cost remains $99 for the regular iPhone 16 and iPhone 16 Plus. Apple last increased the cost of out-of-warranty…