Fork Can Claude-Fable Solve a Jacobian Conjecture With Only Three Hints? at a meaningful point — your fork copies the full history up to that turn, then continues in your own direction.
The CLI can fork at this turn and immediately resume the conversation locally:
branchlm fork a9cf7167-2679-4594-bb9b-2996005421a0 --turn 7 --continue --name "Can Claude-Fable Solve a Jacobian Conjecture With Only Three Hints? (fork)"
Fork points snap to the nearest user prompt at or before the turn you pick.