Two search inputs display when using Gin theme

Problem/Motivation

Recently upgraded to core 10.6.2 (+ admin_toolbar 3.6.3) and a second search input has appeared on the admin toolbar.

It appears to only be an issue when using the Gin theme, shifting admin theme to Claro, there is only one input.

Additionally the "Search" menu item throws a JS error on click:

Uncaught TypeError: Cannot read properties of null (reading 'focus') at HTMLSpanElement. (admin_toolbar_search.js)

Around this:
searchTabTray.querySelector(searchInputID).focus();

I suspect because there are duplicated IDs on the input fields that are conflicting.

If we enable the option "Display the search input as a menu item." , both input fields disappear but the aforementioned button does nothing on click, no errors logged to console.

Steps to reproduce

Enable admin_toolbar_search (submodule) with Gin set as admin theme.

Proposed resolution

Noticed a mention in the 3.6.3 release notes:

Any code refactoring was backed with automated tests, trying to improve the coverage, as much as possible, but they have their limits, in particular: there is currently nothing in place for visual regressions.
Therefore, if you experience any visual or display issues with any of the components of the module, we would greatly appreciate your feedback and testing report in module's issue queue.

So I just wanted to bring this to attention. Not 100% sure on the causes or best path for resolution at this stage.