Codegen CLI in watch mode doesn't respect "silent" configuration

### Which packages are impacted by your issue?

@graphql-codegen/cli

### Describe the bug

When running `@graphql-codegen/cli` with a configuration that specifies `silent: true` _and_ `watch: true`, the resulting watch process continuously emits logs to stdout such as:

```
Watching for changes in ~/path/to/some/file.graphql...
```

### Your Example Website or App

https://github.com/dotansimha/graphql-code-generator

### Steps to Reproduce the Bug or Issue

1. Follow the [Quick Start](https://github.com/dotansimha/graphql-code-generator) instructions with a repo containing a GraphQL file
2. Run `graphql-codegen --silent --watch`
3. Observe the logs emitted to stdout

### Expected behavior

As a user of `graphql-codegen` CLI, I expect to be able to suppress logs in some contexts by configuring the CLI to be silent.

### Screenshots or Videos

_No response_

### Platform

- OS: macOS
- NodeJS: 20.15.0
- `graphql` version: 16
- `@graphql-codegen/*` version(s): 4.0.1

### Codegen Config File

_No response_

### Additional context

_No response_