What does maintaining continuity of consciousness look like to you? As in you are able to talk to your copy? And continue to live your normal life outside while your digital self lives their digital life?
Or are you saying you want the transition to digital to be seamless, where your digital self remembers laying in a chair, a quick pin-prick, and then they're in the digital realm?
Keep in mind, we have zero understanding of how you'd get the meat consciousness to transition into the digital consciousness - it's likely not even possible. The two options for copying are keep both alive or terminate the original somewhere before bringing the digital one online. There's many ways to do both, but those are the two.
This convo has gone on for centuries at this point. The Brain in the Jar, the teleportation conundrum, Thesius' ship, it's all already been covered over and over. people like you still keep crawling out of the woodwork thinking you know better than every philosopher that already waxed over this problem ad nauseum.
Your 'continuous self' is just as worthless as a concept. The idea that your 'sense of being the same person' is being held together by being apart of your plumbing just as much of an illusion. It's worthless.
To elaborate, you are not the brain. You are the observer, the thing which exists as a byproduct of the brain's processes, perhaps even a process yourself within. There's also plenty of times when you will lose time other than sleep, like concussions, getting blackout drunk, panic attacks, and after those times you have no memory of making decisions or acting in your own accord, but you were. You, the observer, were absent while the brain kept working. So where were you?
You act as though you're sure you are still the same observer as the one who went to bed. That is completely unsubstantiated. You may have just been born into your body when you awoke today, and will only have until your body falls back asleep again before you cease to exist, replaced by another process that thinks itself is you, another observer.
And if 'you' one day woke up in a digital world, like our own, it's you'd be none the wiser, because your self is simply a collection of processes and memories. It's arbitrary. It's all dust. There's not some special 'continuity' that keeps you alive somehow.