Normal pages when viewed are given the current class in the Nav block menu item. When adding a WooCommerce shop page, this is not given the current class when the page is viewed.
Step-by-step reproduction instructions:
With WooCommerce installed, add a Shop page
In Appearance > Menus, create a menu containing this shop page
In your templates add a Nav block containing a Nav Menu block and assign this to the menu from step 2
In the front-end notice that visiting the shop page does not make the shop menu item current
We have fixed this issue in 1.3.0.2.
We did notice we were able to reproduce this error with the core navigation block in the core 2023 theme without Cwicly installed.
Please let us know if you are still experiencing issues once updated.