Start training now. There’s nothing to be gained from waiting. Off-the-shelf training plans should be thought of as minimums, not maximums. (The maximum number of training weeks in a year is 52. ?)
Whatever plan you’re using, extend the specific (peaking phase) to a maximum of six weeks. Work backward from there to today and proportionately increase each phase of the plan so that the rough percentage of time per phase is the same. (Again, except for the peaking phase which should probably stay at 4-6 weeks).