So it's best to take the time to build up an emergency fund and gradually enter the Bitcoin market with the extra money.
As a newbie and a no coin, it's not good for you to take time to build up your emergency fund first before you start accumulating Bitcoin because by the time you will be busy building your emergency fund, you should have also been busy accumulating Bitcon with the DCA strategy so that you will have an existing Bitcoin investment that you are building up your emergency fund for rather than building up your emergency fund when you haven't yet started accumulating Bitcoin, which makes no sense to me because you can build up your emergency fund and end up not investing in Bitcoin. Instead of using all your discretionary income to build up your emergency fund when you haven't kick started your Bitcoin investment, why don't you start accumulating Bitcoin and build up your emergency fund together? And when your have built up your emergency fund up to 3 months, you can put building up your emergency fund on hold and focus on accumulating Bitcoin with your discretionary income. This will be helpful to you in starting you Bitcoin investment.
Honestly I think that the time sharing strategy i.e. building an emergency fund and gradually starting to buy Bitcoin at the same time is a very smart thing to do in this situation. On the one hand having an emergency fund i.e. a life buffer keeps us financially secure in the event of an unexpected situation. On the other hand using the DCA strategy to buy Bitcoin over time helps us build long term exposure which is effective in reducing risk in volatile markets.
For example if someone is only busy building an emergency fund and does not start buying Bitcoin they may miss out on a price increase or market dip. Suppose a person has been building an emergency fund for three months but during that time Bitcoin suddenly fell by 10 to 15 percent. If they had started a concurrent DCA they could have taken advantage of this dip. Again they also have an emergency fund which is capable of handling short term emergencies.
An effective strategy could be: putting a certain portion (say 50 percent) of your monthly income into an emergency fund and starting a Bitcoin DCA with the remaining 50 percent. After a few months when the emergency fund reaches a sufficient level the focus shifts to buying Bitcoin. This ensures both risk mitigation and long term growth.