[pp-1] update dependency injection for image widget

Problem/Motivation

Postponed on #3567618: Create service for image_path_flush, image_style_options and constant for IMAGE_DERIVATIVE_TOKEN
Also see https://git.drupalcode.org/project/drupal/-/merge_requests/14372#note_72...

We should add di for the derivative and clean up the constructor.

Steps to reproduce

Proposed resolution

Remaining tasks

User interface changes

Introduced terminology

API changes

Data model changes

Release notes snippet