It shouldn’t throw it out of whack too much. I would just start the new pack now as normal. Just be aware you aren’t covered this month in terms of birth control and will need to use a secondary form until the next cycle.
Something similar happened to me it may be a few days late but when I spoke to my doctor she told me to take two pills when I got it and two the next day since I had missed 4 days
In the past when this has happened to me I skip the first 2 or 3 pills so I finish the pack when I should’ve if I hadn’t missed any so it doesn’t throw me outta whack.