Introduce HASearchField

[TimoPtr]

Summary

Extracted the debounce search logic within a HASearchField, this was initially made in #6567 by @danielgomezrico. Since I'm currently redoing the EntityPicker I took the opportunity to extract it into a smaller PR. I've also added a small state object and a remember helper on top of tests.

It's built on top of our existing HATextField, it can be extended later.

Checklist

• New or updated tests have been added to cover the changes following the testing guidelines.
• The code follows the project's code style and best_practices.
• The changes have been thoroughly tested, and edge cases have been considered.
• Changes are backward compatible whenever feasible. Any breaking changes are documented in the changelog for users and/or in the code for developers depending on the relevance.

Screenshots

Any other notes

Based on #7149

[Copilot]

Pull request overview

This pull request introduces a reusable Compose HASearchField component (built on HATextField) that encapsulates debounced search behavior behind a SearchFieldState, along with interaction and screenshot tests, and a debug-catalog entry to showcase the component.

Changes:

• Added HASearchField composable and SearchFieldState + rememberSearchFieldState helper to centralize debounced search input behavior.
• Added Robolectric Compose UI tests validating label/clear-icon behavior and debounce timing semantics.
• Added screenshot tests (light/dark + with/without leading icon) and wired the component into the debug UI catalog.

Reviewed changes

Copilot reviewed 4 out of 10 changed files in this pull request and generated 1 comment.

File	Description
common/src/main/kotlin/io/homeassistant/companion/android/common/compose/composable/HASearchField.kt	Adds the debounced search field composable and its state holder/helper.
common/src/test/kotlin/io/homeassistant/companion/android/common/compose/composable/HASearchFieldTest.kt	Adds interaction tests for debounce behavior, label visibility, and clearing.
common/src/screenshotTest/kotlin/io/homeassistant/companion/android/compose/composable/HASearchFieldScreenshotTest.kt	Adds screenshot coverage for empty/filled states and optional leading icon.
app/src/debug/kotlin/io/homeassistant/companion/android/developer/catalog/HAUserInputScreen.kt	Showcases HASearchField in the developer catalog.