I'm afraid it won't be beneficial in the end. If you print and print money to buy Bitcoin, the price of Bitcoin may increase, but that might be a worthless increase because the value of such price will also go down. To illustrate it with a simple math, it is useless to make Bitcoin increase from $10 to $100 if that would mean that what you could buy with $10 can only be bought with $100 because of the loss of value. That's basically the same with money printing and the subsequent loss of value as a result. The supply has increased but the value has gone down.
Even the government will never embark on such decision in the country because they know that BTC is a decentralized currency, and there is no way government can print huge amount of money and invest them in BTC hoping that the price will rise higher the next day or week, and they don't have the power to force the price to pump immediately in the market.
With this illustration, show that government will not get involve in such investment but it will make people to start suspecting the government officials that they are using government money to do other projects that will favor them and their family members when money is not in circulation in the country, because there is no way you can buy BTC at the rate of $10 and the price will jump to $100 within the week.
But if the government want to use half of their money to buy BTC, I guess they can achieve something good from it, if they can hodl it like 4 years before they can sell, they will achieve big profits that will give more value to their currency