There is pretty good evidence that inflation is just now getting priced into actual consumer goods. There is a lag between oil and gas prices rising and prices in food and other goods rising to compensate for those increases.
The real worry right now has to be chained inflation. The inflationary spike around Covid was clearly caused by supply chain issues surrounding closed down manufacturing and shipping. Once the Covid restrictions were relaxed, the prices stabilized. People knew that these surges were temporary. Even with the price surge with the Liberation Day tariffs were considered to be temporary and reversible.
With the Iran War, the shutting off of the Straits is not a simple case of turning a faucet off and on. It will take many months to get supplies rolling again. That means that prices will remain stubbornly high for months and suppliers will need to price that in. They will have to assume that prices in July or October will be higher than they are now.
This is what we've managed to avoid in the previous inflationary spikes. This is also what Larry Summers missed when he predicted the need for a recession to get out of the Covid inflation.
If we are looking at chained inflation, we will need the Federal Reserve to force a recession on the economy to quell the fires burning through the economy. However, we know that Trump is already working to destroy the independence of the Fed, and we also know that his coterie of sycophants is congenitally unable to manage a crisis with expertise and wisdom.
The recession might just save democracy in America, but it's going to suck ass.