Browser field search doesn't work for nested modules with $showOnlyParentItemsInBrowsers set to false #2837

Description

When searching in a browser field for a nested module with $showOnlyParentItemsInBrowsers set to false, all instances of the module are returned instead of just the ones containing the search string

Steps to reproduce

• Create a nested module
• Set $showOnlyParentItemsInBrowsers to false on the module controller
• Create a browser field referencing the nested module
• Attempt to search in the browser field modal

Expected result

The search results are restricted to just items containing the search term

Actual result

The search results show all items

Versions

Twill version: 3.5.3
Laravel version: 11.51
PHP version: 8.4
Database engine: Tested on SQLite & MySQL