You also can't cherry-pick a handful of things that have gone up a lot and then assume that it applies to everything. Some things have gone up in price, others haven't. Inflation is sitting at about 6%, which after a decade+ of sub-2% might seem like such a shock, but it isn't really a big deal.
As Keynes famously said: "The market can stay irrational longer than you can stay solvent."
An indicator that does a pretty good job of signaling the "when" of a recession, and by extension the likely "when" of large market corrections, is yield curve inversion. It predicted the recession of early 2020 quite well, even with the external shock of the pandemic.
https://www.forbes.com/sites/leonlabrecque/2020/02/26/anothe...
From the perspective that somehow a reset of the business cycle has happened through government transfers (not exactly a sound assumption), watch interest rates, and in particular the relationship between the 2 and 10 year.
Should we start to see a rise in short-term rates, without a similar rise in long rates, watch out. You'll no doubt see a multitude of articles explaining how "this time is different." It won't be. And on top of all of that, we'll head into it with the most overvalued market in history.
Buffett has been sitting on piles of cash in the past for years and years, avoiding buying securities when they are overvalued. He never tried timing the market, simply waiting for the right moment. Nor did he sell stocks when they were overvalued in order to try to buy them back at a lower cost at least AFAIK from reading his biographies. So, for a value investor, it's a useful tool.
This is irrelevant