Does a Business Analyst Desktop License work with ArcGIS Pro?

Yes. The Business Analyst (BA) Extension for ArcGIS Pro is included with each copy of Business Analyst Desktop software. The BA Extension for ArcGIS Pro is not sold separately. Business Analyst Desktop is used with and requires separate purchase of ArcGIS Desktop software or an ArcGIS Online GIS Professional Term License. Customers who only desire to use the BA Extension for ArcGIS Pro and BA Data Term License can alternatively purchase an ArcGIS Online GIS Professional Term License to receive ArcGIS Pro, rather than the ArcGIS Desktop software.