The prediction was that U.S. CPI year‑over‑year inflation would continue to print around 8–9% for at least the next 3–4 months after the late‑June 2022 discussion.

Looking at the official CPI‑U (year‑over‑year) figures for 2022:

• June 2022: 9.1%
• July 2022: 8.5%
• August 2022: 8.3%
• September 2022: 8.2%
• October 2022: 7.7%

These values come from BLS‑based compilations and tables that reproduce the official CPI‑U annual rates: June 9.1%, July 8.5%, August 8.3%, September 8.2%, October 7.7%. (cpiinflationcalculator.com)

The episode aired June 30, 2022. The next 3–4 inflation prints after that (the June, July, August, and September 2022 CPI reports) were all in the 8–9% band:

1. June 2022 report (released mid‑July): 9.1%
2. July 2022 report (released mid‑August): 8.5%
3. August 2022 report (released mid‑September): 8.3%
4. September 2022 report (released mid‑October): 8.2%

It was only with the October 2022 print that headline CPI YoY fell below 8%, to 7.7%. (cnbc.com)

Since there were four consecutive months of YoY CPI in the 8–9% range immediately following the discussion, the claim that we would "see eight and 9% inflation prints for at least the next 3 or 4 months" is borne out by the data.

Therefore, the prediction is right.