Edit Content: Add Category Field

[dsilvam]

Parent Issue

https://github.com/dotCMS/core/issues/25445

User Story

As a Content Architect in dotCMS, I want to be able to add a Category field to the Edit Content Form, so I can easily create and edit content.

Acceptance Criteria

TBD

Proposed Objective

Core Features

Proposed Priority

Priority 3 - Average

External Links... Slack Conversations, Support Tickets, Figma Designs, etc.

Prototype: Play

Design: LINK

Input

Dialog

Selected

Assumptions & Initiation Needs

Endpoint

Url example: /api/v1/categories?filter=&page=0&per_page=5&ordeby=category_name&direction=ASC&showChildrenCount=true

Quality Assurance Notes & Workarounds

The category field should be tested to ensure that it is working as expected.

Sub-Tasks & Estimates

No response

### Tasks
- [ ] https://github.com/dotCMS/core/issues/28658
- [ ] https://github.com/dotCMS/core/issues/28764
- [ ] https://github.com/dotCMS/core/issues/28831
- [ ] https://github.com/dotCMS/core/issues/29029
- [ ] https://github.com/dotCMS/core/issues/28875
- [ ] https://github.com/dotCMS/core/issues/28881
- [ ] https://github.com/dotCMS/core/issues/28879
- [ ] Implement Breadcrumb Navigation for Categories