bug(mat-radio-group): Programmatic changes are not reflected in the form model

### Description

When setting `value` on `matRadioGroup`, the visually selected radio button updates, but the form model does not.

Looking at the material source code, the form model is only updated (via `_controlValueAccessorChangeFn`) via the radio input's `change` event. Is this intentional?

### Reproduction

See Stackblitz: https://stackblitz.com/edit/angular-ivy-hpd53z?file=src%2Fapp%2Fapp.component.ts

Steps to reproduce:
1. Select a radio button by clicking it - observe that the form model updates accordingly
2. Select a radio button that is not green
3. Click the 'Force Green' button, which programmatically sets the `value` to green

### Expected Behavior

The `color` value in the form model updates

### Actual Behavior

The `color` value in the form model does not update

### Environment

- Angular: 13.2.0
- CDK/Material: 13.2.5
- Browser(s): Chrome
- Operating System: Windows

从链接的 StackBlitz 复现和 issue 中描述的 mat-radio-group 源码开始，跟踪以编程方式更改值后如何传递到表单模型。当将组值设置为 green 能更新表单模型的 color 值，同时现有的点击行为继续正常工作时，即表示完成。

由索引模型根据 Issue 内容生成。