As Secretary of State, John Quincy Adams...

negotiated a treaty with Great Britain for Oregon Country.
made Manifest Destiny an official United States policy.
convinced Great Britain that it could not control Florida.
negotiated a treaty with Spain for control of Florida.

From Internet:

In 1817, President James Monroe made Adams his Secretary of State. Serving in that position until 1825, Adams played a crucial role in creating the Monroe Doctrine, which warned European nations not to meddle in the affairs of the Americas. He also negotiated agreements that guaranteed U.S. fishing rights off the Canadian coast, established a section of the U.S.–Canadian border, and transferred Florida from Spain to the United States.

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The correct statement is "negotiated a treaty with Spain for control of Florida."

To get the answer, one could either remember this historical fact or conduct a quick search. Searching for John Quincy Adams would reveal that he served as the sixth President of the United States from 1825 to 1829, and before that, he held various positions in the government, including Secretary of State.

During his tenure as Secretary of State, one of Adams' notable achievements was negotiating the Adams-Onís Treaty with Spain in 1819. This treaty settled a boundary dispute between the United States and Spain, resulting in the United States acquiring Florida from Spain and giving up its claims to Texas. This treaty solidified American control over Florida, making the statement "negotiated a treaty with Spain for control of Florida" accurate.