Congressional-Executive Agreements (US law)
Agreements with a foreign power that have been approved by the US Congress. Unlike a treaty (in the US constitutional sense), it does not supersede existing law and does not require a two-thirds vote by the Senate. Instead, it is enacted as an ordinary law which requires majority votes by both the House and Senate followed by approval from the President. (In contrast, a sole executive agreement is ratified by the President alone.)
Not even treaties supercede existing law.
The Panama Canal Treaty included a number of protections for US citizens that Carter included to dupe America into ratifying it. Right after ratification the US government proceeded to renege on on its promises saying that treaties are just contracts between nations, and it's laws that govern people regardless of what treaties say. Panama Canal Employees took it all the way to the Supreme Court and lost.