Mazal tov!
There is no requirement to stop the pill and get a period as preparation for the wedding. You may continue combining packs as planned.
In general, a kallah before her wedding is permitted to perform a hefsek taharah as soon as her bleeding stops, without waiting five days. You may perform a hefsek taharah when you are ready, without getting a period and without a five-day wait.
It would be wise to perform your hefsek taharah a day or two early rather than wait till the last possible day. However, you should schedule your seven clean days so they end no more than four days before the wedding.
It is also wise to give yourself the option of a few extra days on the pill after the wedding, in case it takes a while to consummate the marriage.
Note that this answer applies to your specific situation, where you are certain from long experience that you do not experience breakthrough bleeding when combining packs. For most kallot, we would not recommend combining packs of birth control pills immediately before the wedding because of the increased risk of spotting.
Please write back with any follow up questions.
May you merit to build a bayit ne'eman beYisrael!