When you start Bitcoin as a beginner, you don't have to worry so much about your emergency fund with long-term investment goals because you are just starting out in Bitcoin investment. You can use the time ahead to build an emergency fund, for example, if your discretionary income is not in a good state (relatively small amount) then you should start saving as much as you feel comfortable with for Bitcoin accumulation. Starting Bitcoin at the beginning may be more fair for your financial situation than building your balance. It is not clear what you actually mean by having a full emergency fund. I think the amount of emergency fund should be enough to meet the daily needs of your family for three months or six months or a year or two years, depending on your financial situation, but if we calculate at a minimum having an emergency fund of three to six months makes more sense to me.
Emergency fund is always necessary. Whether you invest or not, it is still very good to have an emergency fund. If you invest and if you do not have an emergency fund, then create an emergency fund alongside your investment. If you start investing and do not create an emergency fund, then you may be putting your investment at great risk. Because we can never predict the future, we can never say what will happen to us. So it is very good to create an emergency fund along with investing.
It is very good for a person to create an emergency fund based on his stable income or his family expenses. It is very good to keep an emergency fund 3 times your stable income or family expenses.