Add for all inputs clear button

### Contribution

- [ ] I'd be willing to implement this feature ([contributing guide](https://github.com/gemini-testing/html-reporter/blob/master/CONTRIBUTING.md))

### Describe the user story

_No response_

### Describe the solution you'd like

Add for all inputs clear button
Reference

https://gravity-ui.com/ru/components/uikit/text-input

### Describe the drawbacks of your solution

_No response_

### Describe alternatives you've considered

_No response_

No files, tests, or entry points are named. Start by locating the input components in the TypeScript frontend and compare their current controls with the linked Gravity UI reference. Done means every applicable input exposes a clear button and the existing input behavior remains intact.

Written by the indexing model from the issue text.