>>the free market is basically not a thing anymore
I'd say this has little to do with COVID (beyond that it is a random event that decreased then re-increased demand), but the accumulated effect of decades of failing to enforce anti-trust law.
The most propserous times and bigges middle class ended with the Reagan administration, who in 1983, ordered the DOJ, FTC, and SEC to stop enforcing anti-trust laws dating back to the Sherman Act of 1890[0].
This massively destroyed small businesses and concentrated corporate power. E.g., the closer a store was to the Walmart location, the greater the likelihood it would close. Persky and his colleagues found that for every mile closer to the Walmart, 6 percent more stores closed. Close in around the store's location, between 35 and 60 percent of stores closed. [1]
Previously, anti-trust laws were enforced so aggressively that when Buster Brown and Kinney shoe companies wanted to merge in the 1960s the Supreme Court blocked the merger because the combined company would control about 5 percent of the US shoe market. Nike alone today controls around 20 percent of that market.[0]
Obviously, when anti-trust laws stop being enforced and massive corporations gain oligarchic market and pricing power, they can create inflation at will.
This power needs to be rebalanced.
Again, recognize, that the "free market" is ab absolute fiction — there is no such thing. Every market has rules and regulations, explicit and/or tacit. The only question is what are the regulations and who enforces them.
Absent sufficient regulation, the market dynamics will always end up with all power in the hands of a few major players. This is what is happening here. Looks like is is not the FED that can fix it, it is the SEC and DOJ.
[0] https://www.rawstory.com/amp/gop-party-of-business-265994473...
[1] https://www.bloomberg.com/news/articles/2012-09-14/radiating...