The outcome depends on how one interprets “the Build Back Better bill” and “return.”

What happened legislatively

• The House passed the Build Back Better Act (H.R. 5376) on November 19, 2021, but it stalled in the Senate when Sen. Joe Manchin withdrew support in December 2021. Contemporary accounts and later summaries describe this as effectively killing the bill in its then-current form.【(en.wikipedia.org)
• Subsequent negotiations between Manchin and Senate Majority Leader Chuck Schumer produced a much smaller reconciliation package, the Inflation Reduction Act of 2022 (IRA). This law incorporated some of Build Back Better’s climate, health-care, and tax provisions, while omitting most of its social‑safety‑net spending.【(en.wikipedia.org)
• Technically, the IRA was passed by amending H.R. 5376 itself: the legislative text of the Build Back Better Act was replaced, and the bill went forward under the new name “Inflation Reduction Act of 2022,” which passed the Senate on August 7, 2022, and was signed into law on August 16, 2022.【(en.wikipedia.org)

Why this makes the prediction ambiguous

• If you define “the Build Back Better bill” as the large social‑spending package branded “Build Back Better” (including major child‑care, child‑tax‑credit, and broader social programs), that package was shelved and never enacted; only parts of it survived in a slimmed‑down compromise. Under this interpretation, the prediction that it was “being shelved … [and] probably not to return” is basically right.
• If you define “return” in a procedural or core‑policy sense—i.e., whether the bill vehicle (H.R. 5376) and central elements of the agenda came back and ultimately passed—then the prediction is wrong: the same bill number was revived, rewritten, renamed the Inflation Reduction Act, and enacted into law with substantial overlap in climate, health, and tax provisions.【(en.wikipedia.org)

Because both interpretations are reasonable and lead to opposite truth values, the prediction cannot be cleanly scored as simply right or wrong even though enough time has passed. Hence the outcome is ambiguous.