First one must understand difference between money and banknotes, in basic relation to generating money as production of market needs, in comparison emission of banknotes to cover a government overspending.
Money are created by generating product with money value to market needs for the product, against “promise to a bearer” that banknote represents.
Inflation is nothing more that effect of theft by government and central bank of the nations money, by watering down value of banknotes.
Although increasing the money supply faster than economic output is a source of inflation, that is not necessarily the case right now, its hard to tell as there are recessionary pressures as well as inflationary ones. In my opinion the money supply is an overly complicated way to think of inflation. Although its the way economists explain inflation, it turn a simple concept into something confusing. Money explanations get quite mathematical as it involves the flow rate and the amount of money. Money is an intangible concept, its created and destroyed by bank loans/repayments. I think its best to think of inflation simply as when there is too much demand for goods and services and not enough supply, so prices of goods and services go up.
In a previous post #142 I 've tried to comment on how current inflation is very much linked to the pandemic and a throttling back of supply while demand has been sustained through furlough etc. The primary driver for inflation is that growth in supply of goods verses the demand for goods and services. The pandemic caused a racking back in supply of goods 15 months ago. Oil and gas were in oversupply so production was cut, goods made in china were cut, computer chips for cars etc. However as the pandemic has unwound demand has picked up faster than supply, partly because supply chains have been disrupted and its taking a while for factories and systems to come back on stream and partly because the furlough schemes operating globally allowed people who were economically inactive to continue to consume goods, so supply went down but demand didn't. From a monetary point of view, the money supply continued to expand/flow through government and personal borrowing but output shrank. Also people who saved money during the pandemic are now spending their savings. This money is chasing too little supply of goods.
Its hard to predict the future, its likely that inflation will pick up for the next 2 to 3 years as the excess money/demand for goods works its way into the economy faster than the world can grow. However its hard to know, a lot of people may lose there jobs as furlough unwinds in which case there will be a huge reduction in demand. In this case the link between money supply and inflation is broken. That's because of two factors, one is people trade less in a recession so the money circulates more slowly - that has an equivalent effect to reducing money supply and secondly as people borrow less or repay debts they shrink the money supply (or constrain its growth).
It's often overlooked that most money is created by private banks, 80% or more is created by companies and people borrowing money from banks, the rest comes from government borrowing. Here is an explanation from the bank of England
How is money created? . In normal circumstance the money supply in an economy is regulated by peoples attitude to risk. We borrow money when they feel secure ie job prospects up so growth is coming and we borrow. Come bad times and we cut back, lower our borrowing or save money. That way money tends to grow inline with underlying growth. The central banks can fine tune this natural equilibrium by adjusting interest rates to encourage of discourage borrowing.
Most responsible governments manage the money supply to keep the currency and inflation stable at ca 2%. There have been famous cases where governments didn't do that such as the US Confederate states printed money to procured arms in the US the civil war = 700% inflation. Wiemar Germany printed money to repay its war debt and generated hyperinflation. Zimbabwe did a similar thing more recently. The US government part financed the Vietnam war with a loose money supply that contributed to global inflation in the 1960s. But most responsible governments avoid that.
However thinking of money can overlook the obvious. The inflation of the 1970s and 1980s was driven by demand for oil outstripping supply as OPEC managed supplies to encourage higher prices.
Also government make mistakes. During a recession there is untapped supply of labour, so government borrowing and low interest rates help keep those people productive and avoid what is called a liquidity trap. Keynes pointed out that tight money supply globally with the gold standard etc, exacipated the liquidity trap in the 1930s The liquidity trap is why Quantitative Easing did not lead to inflation during the financial crisis, the new money enabled those recessed to continue to consume taking up slack production an so keeping economies ticking along and so avoiding deeper recession. However if a government (central bank) allows an increased in the money supply, thinking the economy is in recession when it isn't then inflation sets in.
So although central bank control of money supply is a key lever for controlling inflation, its easier for those of us not close to markets and M4 etc to think in terms of supply and demand. Are too many of us buying stuff when its not available. Are we borrowing when we probably should be saving. Are we saving too much when we should be enjoying the prospect of good times.
A long answer to your point, in my view governments only sometimes responsible for inflation as lot of the time is us the consumer or its an outside force such as structural changes in Asia (china) or Opec that is the real driver of inflation.