Hello. Thank you for contacting the Toolset support.
Since 'Types' provides a limited solution to rewrite the base for your CPT. We offer URL rewriting option with CPT and you may try to play with that. you can find that at:
For CPT:
=> Toolset => Post Types => Edit post type => Under section "Options" you will find option rewrite
For Taxonomies:
=> Toolset => Taxonomies => Edit Taxonomy => Under section "Options" you will find option rewrite
See this screenshot: hidden link
Well - to change permalinks to your described structure will need custom programming and that is unfortunately out of the scope of our support policy. If you need custom programming work with your project, please feel free to contact our certified partners:
=> https://toolset.com/consultant/