Add Tutorial for Creating an MCP Client in Typescript

[allenzhou101]

This PR relies on the quickstart-resources PR merging first as it links to the Python and Typescript MCP clients.

Specifically, this change will add a section to the Quickstart For Client Developers focused on Node/Typescript

Motivation and Context

MCP Client tutorials exist for Python and Java but not Node. Including this section improves the DX for MCP Client developers.

How Has This Been Tested?

The code in this tutorial was validated via connecting to multiple MCP Servers locally.

Breaking Changes

None

Types of changes

• Bug fix (non-breaking change which fixes an issue)
• New feature (non-breaking change which adds functionality)
• Breaking change (fix or feature that would cause existing functionality to change)
• Documentation update

Checklist

• I have read the MCP Documentation
• My code follows the repository's style guidelines
• New and existing tests pass locally
• I have added appropriate error handling
• I have added or updated documentation as needed

Additional context

Fixes #103