Thank you for waiting as I completed some detailed testing on a test website as well as on your website's clone.
The main limitation lies in the fact that in the blocks-based archives created through Toolset, the entire output enclosed within the 'WordPress Archive' block is updated/reloaded, when an AJAX operation is performed for the search or the pagination.
With a pause on the Toolset features development, I don't see this behavior getting changed anytime soon. If it was just the matter of the missing SVG icons in the header, I would've recommended to redesign them so that they are not using the SVG icons. But there is also a navigation menu on hover involved.
All things considered, I see there are two options to make things work in a safe and reliable manner:
1. You can go with a AJAX free approach, where search and pagination settings are both set to update the results, through page refresh and not AJAX.
OR
2. As suggested in my last reply, you'll have to include that header in way that it is not part of the archive itself. This way the AJAX operations won't affect that header's output.
( Of course, feel free to let us know through a separate ticket in case you decide to work on an independent header and still run into a similar challenge )
Note: I also looked into the way Kadence includes its styles and scripts for the blocks. Re-initializing them all after each AJAX operation gets completed is not something practical and/or sustainable in the longer run.
Ah I see. Well, thanks for looking so deeply into it. I know how to fix the issue going forward. Thank you!
