Temember that when you are using airtight logic to get what you want, poke a few holes in it to allow this other force to breathe. Allow the magic of the universe to weave its way through the fluid foundation you have built. Remain flexible as to how things are "supposed to" happen. There's something bigger at play.
When readers are distracted by illogic, they're not invested in your narrative; no matter how good the rest of your story may be, it's simply not going to hit readers the same way. Run a switchblade through a small part of the Mona Lisa and no one notices the masterpiece. All they see is the scratch.