The give-up time is not newer for every letter kept: a notice that could not be kept is offered again a minute later, so a later give-up can be kept first and the one after it read as not fresh. The stored time rises with the stream's sequence. A consumer whose letters vanish between the two reads is left out of the look instead of counted as a look, and the skip of a token-less max-deliveries advisory now has a test of its own.