Support Drupal 10 and update all use of deprecation in the Entity Browser Enhance(d|r) module

Problem/Motivation

Drupal 10.0.0 stable was released on: 15 Dec 2022 by the Drupal core team
https://www.drupal.org/project/drupal/releases/10.0.0

Proposed resolution

• Support Drupal ~10 and change all deprecated packages, classes, functions, asset libraries to the Drupal 10 way
• Real physical testing with Drupal ~10
• Automated upgrade to Drupal ~10

Remaining tasks

• ✅ File an issue
• ✅ Addition/Change/Update/Fix
• ✅ Testing to ensure no regression
• ➖ Automated unit testing coverage
• ➖ Automated functional testing coverage
• ➖ UX/UI designer responsibilities
• ➖ Readability
• ➖ Accessibility
• ➖ Performance
• ➖ Security
• ➖ Documentation
• ✅ Code review by maintainers
• ✅ Full testing and approval
• ✅ Credit contributors
• ✅ Review with the product owner
• ✅ Release notes snippet
• ❌ Release varbase-9.0.11, entity_browser_enhanced-8.x-1.1

API changes

• N/A

Data model changes

• N/A

Release notes snippet

• Issue #3277446: Support Drupal 10 and update all use of deprecation in the Entity Browser Enhance(d|r) module