https://www.chicagofed.org/research/dual-mandate/dual-mandate

In 1977, Congress amended the Federal Reserve Act, directing the Board of Governors of the Federal Reserve System and the Federal Open Market Committee to "maintain long run growth of the monetary and credit aggregates commensurate with the economy's long run potential to increase production, so as to promote effectively the goals of maximum employment, stable prices and moderate long-term interest rates."

The Fed’s Dual Mandate (interest rates and employment) says nothing about the stock market.