If you are waiting 2 years, I would do as little as possible. The labor market is tight. Homebuilding is at its highest since the 2008 Financial Crisis. (although, just now passing long-term averages) Global supply chains are in an uproar as they still are sorting out Covid snags. And the Russian invasion of Ukraine has spiked many commodities, not least of which is oil. (and therefore, transportation)
All of these factors are cyclical. While inflation in consumer goods may be sticky, oil certainly isn't. As as supply chains readjust to regional risks, their costs, and therefore prices, will moderate.
If you have cash in the bank, do what you can to keep it growing. Buy I bonds. But any purchasing step taken now will be at or near a peak.
Of course, if you are serious about a house, then hold your nose and go for it. Putting your life on hold for 2 years is a high cost, in non-monetary terms. If this is your forever home, then get going on forever. Yeah, you can try to manage the cost: be very flexible on materials, and look at what's available rather than pushing for custom orders. Do work in the off-season, if your area has one. But you are moving with the herd at a crazy time: just make peace with that.