Three bitcoin is a huge amount of money already. If I were to recieve such huge amount of bitcoin, I wouldn't waste it anymore on something that would make me consume it without gaining anything back. But for me, it is not ideal anymore to buy at such value. I think it is just a waste if you will buy three bitcoin with this high value, but if you were able to make it in time where the value is still low, then you should buy as much as you can and for certain, it will be worth it and everything will pay back for you sooner or later.
If you plan to buy three bitcoin with the current price, it's definitely a big amount of money, yet you are still not sure when are you going to make huge returns. Try to wait for another dump where bitcoin price will be more cheaper and then grab the opportunity to buy bitcoin as much as you can.
Your idea is not really wrong but since crypto investment is full of uncertainties, just invest on the amount you can afford to lose. You are risking your savinga here so make sure to spend it more wisely.