feat(badge): add support for hint feature (#30213)

Issue number: internal

---------

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issue. -->

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## What is the new behavior?
<!-- Please describe the behavior or changes that are being added by
this PR. -->

- Added new position prop.
- Based on the prop, a new badge-position css class is added on the
host.
- Removed css rule that prevented the badge to be rendered when empty.
- Added common and themes styles to support the position prop and new
scale size (on ios/md defaults to min-width variable, as size is not yet
supported on native themes).
- Added new tests specific for this new feature and added new
screenshots.
- Support to properly work inside Avatar, Button and TabButton will be
added on different tasks (in the meantime the snapshots will appear
wrong for these use-cases)

## Does this introduce a breaking change?

- [ ] Yes
- [x] No

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  2. Update the BREAKING.md file with the breaking change.
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## Other information

<!-- Any other information that is important to this PR such as
screenshots of how the component looks before and after the change. -->

- [Ionic Theme
Sample](https://ionic-framework-6n0cn175k-ionic1.vercel.app/src/components/badge/test/hint?ionic:theme=ionic)
- [MD Theme
Sample](https://ionic-framework-6n0cn175k-ionic1.vercel.app/src/components/badge/test/hint?ionic:theme=md)
- [iOS Theme
Sample](https://ionic-framework-6n0cn175k-ionic1.vercel.app/src/components/badge/test/hint?ionic:theme=ios)

---------

Co-authored-by: ionitron <hi@ionicframework.com>
Co-authored-by: Marta Carlos <101343976+OS-martacarlos@users.noreply.github.com>
Co-authored-by: Brandy Smith <brandyscarney@users.noreply.github.com>

packages/angular/standalone/src/directives/proxies.ts

@@ -349,14 +349,14 @@ export declare interface IonBackdrop extends Components.IonBackdrop {
 
 @ProxyCmp({
   defineCustomElementFn: defineIonBadge,
-  inputs: ['color', 'mode', 'shape', 'size', 'theme']
+  inputs: ['color', 'mode', 'shape', 'size', 'theme', 'vertical']
 })
 @Component({
   selector: 'ion-badge',
   changeDetection: ChangeDetectionStrategy.OnPush,
   template: '<ng-content></ng-content>',
   // eslint-disable-next-line @angular-eslint/no-inputs-metadata-property
-  inputs: ['color', 'mode', 'shape', 'size', 'theme'],
+  inputs: ['color', 'mode', 'shape', 'size', 'theme', 'vertical'],
   standalone: true
 })
 export class IonBadge {