Yes and no, there is a clarification the president cannot disclose without approval as well.

Some secrets, such as information related to nuclear weapons, are handled separately under a specific statutory scheme that Congress has adopted under the Atomic Energy Act. Those secrets cannot be automatically declassified by the president alone and require, by law, extensive consultation with executive branch agencies.

https://www.americanbar.org/news/abanews/aba-news-archives/2022/10/fact-check-presidential-authority/