This question asking us to make a "Cyclic Levenquine" has gone unanswered. So today we will ask a slightly simpler version. In this challenge we will define a K-Levenquine to be a program whose output is Levenshtein distance K from its source.
Task
Your goal in this challenge is to write a program with some output different from its own source; running that output as a program should also do the same. Eventually, the sequence of repeatedly running the outputs of each successive program (in the same language) must eventually output the original program.
As with the last challenge there must be two distinct programs in this cycle such that they do not share any two bytes (i.e. their byte sets are disjoint).
As with most quine challenges, reading your own source code is forbidden.
Scoring
Each program in your cycle will be a K-Levenquine for some K. The largest K of any of the programs in your cycle will be your score. Your goal should be to minimize this score, with 1 being the optimal score.