[FEATURE] Generate aws-sdk style client

### Describe the feature

AWS SDK v3 client follows a pattern of Command/Input/Output. I can generate this type of client when I add this into `type_safe_api.TypeSafeApiProject` config:
```
smithyBuildOptions: {
projections: {
"ts-client": {
plugins: {
"typescript-codegen": {
package: `${apiDefaults.name}-client`,
packageVersion: "0.0.1",
},
},
},
},
maven: {
dependencies: [
"software.amazon.smithy:smithy-validation-model:1.43.0",
"software.amazon.smithy:smithy-openapi:1.43.0",
"software.amazon.smithy:smithy-aws-traits:1.43.0",
"software.amazon.smithy.typescript:smithy-typescript-codegen:0.19.0",
"software.amazon.smithy.typescript:smithy-aws-typescript-codegen:0.19.0",
"software.amazon.smithy:smithy-model:1.43.0",
"software.amazon.smithy:smithy-cli:1.43.0",
],
},
},

```

This config generates a client package in `api/model/build/smithyprojections//ts-client/typescript-codegen` but pdk/projen/nx do not see it, so it requires additional effort to publish this code to npm.
I'd like pdk to generate this code into `api/generated` similar to `generated/runtime/typescript` with all required projen configs

### Use Case

It would be more consistent with existing AWS SDK to have client generated by smithy typescript generator.

### Proposed Solution

_No response_

### Other Information

_No response_

### Acknowledgements

- [ ] I may be able to implement this feature request
- [ ] This feature might incur a breaking change

### PDK version used

0.22.49

### What languages will this feature affect?

_No response_

### Environment details (OS name and version, etc.)

macOS

Start by examining the TypeSafeApiProject smithyBuildOptions and the generated paths under api/model/build/smithyprojections and generated/runtime/typescript. Trace how pdk, projen, and nx currently package generated code; done should mean the Smithy TypeScript client is generated under api/generated with the required project configuration and can be published to npm.

Written by the indexing model from the issue text.