[BUG] [typescript] lacks support for parameters serialization with array and object values

Bug Report Checklist

• Have you provided a full/minimal spec to reproduce the issue?
• Have you validated the input using an OpenAPI validator (example)?
• Have you tested with the latest master to confirm the issue still exists?
• Have you searched for related issues/PRs?
• What's the actual output vs expected output?
• [Optional] Sponsorship to speed up the bug fix or feature request (example)

Description

Current implementation of path, query and header parameters serialization has support only for primitive values.

openapi-generator version

Tested 7.1.0 and master. Not a regression.

OpenAPI declaration file content or url

paths:
  /some-path/{foo}/{bar}:
    parameters:
      - in: path
        name: foo
        required: true
        schema:
          type: array
          items:
            type: string
      - in: path
        name: bar
        required: true
        schema:
          type: object
          properties:
            baz:
              type: string
      - in: query
        name: qux
        required: true
        schema:
          type: array
          items:
            type: string
      - in: query
        name: quux
        required: true
        schema:
          type: object
          properties:
            baz:
              type: string
      - in: header
        name: quux
        required: true
        schema:
          type: object
          properties:
            baz:
              type: string

Generation Details

openapi-generator-cli generate --generator-name="typescript" --additional-properties="enumPropertyNaming=original,modelPropertyNaming=original"

Related issues/PRs

• https://github.com/OpenAPITools/openapi-generator/issues/12329
• https://github.com/OpenAPITools/openapi-generator/issues/9003

Suggest a fix

Properly implement spec with proper support for style and explode options.

Start with the TypeScript generator entry point used by the supplied openapi-generator-cli command, then trace serialization for path, query, and header parameters. Reproduce the issue with the provided OpenAPI YAML, focusing on array and object values and their style/explode options. Done means generated TypeScript clients serialize these parameters according to the OpenAPI specification.