Part of your discretionary income is what you are to use in build your emergency funds and invest in bitcoin. If you allocate money from your income that's not your discretionary income to build your emergency funds, you will end up using your emergency funds to take care of your needs and any long term bitcoin investor without an emergency funds is only gambling.
You can not know when an accident, an emergeny comes with you that can happen shortly after you made this post. Investment if is practiced correctly must be long term and in a long term, you never know what will happen including emergency. Therefore you must have your emergency fund for urgent need in future and you can build up your investment capital and emergency fund at the same time with your regular income.
I never think that prioritizing of building up either your investment capital first or your emergency fund first is a good idea. Let's build those funds together by splitting your income to those funds, and you will build them up and bigger with time in a safer approach.