It's a prisoner's dilemma because even though the economy would be better if non-competes were banned, any individual business makes more money by forcing employees to sign one.
Workers' rights need to be an essential part of any trade agreement specifically to prevent a scenario where the United States can't legislate workers' rights because it'll put American companies at a disadvantage globally.
https://crsreports.congress.gov/product/pdf/IF/IF10046/24
This is already being done with USMCA (NAFTA replacement) enshrining collective bargaining rights in the auto industry, so companies won't outsource to avoid dealing with a union.
Maybe banning non-competes is something the USA should prioritize in future trade agreements. That's something that would address the problem she's pointing out and benefit the economy.