refactor(material/radio): use ID generator

Switches to using the ID generator service to create unique IDs.

Author: crisbeto

src/material/radio/radio.ts

@@ -6,7 +6,7 @@
  * found in the LICENSE file at https://angular.dev/license
  */
 
-import {FocusMonitor, FocusOrigin} from '@angular/cdk/a11y';
+import {_IdGenerator, FocusMonitor, FocusOrigin} from '@angular/cdk/a11y';
 import {UniqueSelectionDispatcher} from '@angular/cdk/collections';
 import {
   ANIMATION_MODULE_TYPE,
@@ -47,9 +47,6 @@ import {
 import {Subscription} from 'rxjs';
 import {_CdkPrivateStyleLoader} from '@angular/cdk/private';
 
-// Increasing integer for generating unique ids for radio components.
-let nextUniqueId = 0;
-
 /** Change event object emitted by radio button and radio group. */
 export class MatRadioChange {
   constructor(
@@ -129,7 +126,7 @@ export class MatRadioGroup implements AfterContentInit, OnDestroy, ControlValueA
   private _value: any = null;
 
   /** The HTML name attribute applied to radio buttons in this group. */
-  private _name: string = `mat-radio-group-${nextUniqueId++}`;
+  private _name: string = inject(_IdGenerator).getId('mat-radio-group-');
 
   /** The currently selected radio button. Should match value. */
   private _selected: MatRadioButton | null = null;
@@ -422,7 +419,7 @@ export class MatRadioButton implements OnInit, AfterViewInit, DoCheck, OnDestroy
   });
 
   private _ngZone = inject(NgZone);
-  private _uniqueId: string = `mat-radio-${++nextUniqueId}`;
+  private _uniqueId: string = inject(_IdGenerator).getId('mat-radio-');
 
   /** The unique ID for the radio button. */
   @Input() id: string = this._uniqueId;