docs: add flexagent mcp installation instructions

[yaugenst-flex]

Greptile Overview

Greptile Summary

This PR adds comprehensive installation instructions for the FlexAgent MCP server to the README, providing users with clear guidance on how to set up AI-assisted Tidy3D simulation capabilities across multiple MCP clients (Codex, Claude, Gemini, and Cursor). The documentation is well-structured with collapsible sections for each CLI/IDE combination and includes practical examples for both command-line and configuration-file approaches. Additionally, the license badge was improved to show the specific LGPL-2.1 license with a clickable link, and some extraneous whitespace was cleaned up.

• Added new "FlexAgent MCP" section with installation instructions for four different MCP clients
• Enhanced license badge with specific LGPL-2.1 designation and link to LICENSE file
• Removed unnecessary blank line for cleaner formatting

Confidence Score: 5/5

• This PR is safe to merge with no risk - it only adds documentation to the README
• This is a documentation-only change that adds clear, well-structured installation instructions for FlexAgent MCP. The changes are isolated to the README file, include no code modifications, and follow proper markdown formatting conventions. The content is informative and provides practical value to users.
• No files require special attention

Important Files Changed

File Analysis

Filename	Score	Overview
README.md	5/5	Added FlexAgent MCP installation instructions with clear examples for multiple CLI clients; improved license badge formatting; removed extraneous whitespace

Sequence Diagram

sequenceDiagram
    participant Dev as Developer
    participant README as README.md
    participant MCP as MCP Client
    participant TD3D as Tidy3D API
    
    Dev->>README: Read FlexAgent MCP section
    Note over Dev,README: Choose CLI client<br/>(Codex/Claude/Gemini/Cursor)
    
    Dev->>MCP: Run registration command<br/>(uvx tidy3d-mcp --api-key)
    Note over MCP: Register tidy3d-mcp server
    
    MCP->>TD3D: Connect with API key
    Note over MCP,TD3D: AI-assisted simulation<br/>capabilities enabled
    
    Dev->>MCP: Use FlexAgent features
    MCP->>TD3D: Execute Tidy3D operations

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[e-g-melo]

Hi @yaugenst-flex! Thanks for creating this!

I have only a suggestion about the links. Maybe we could use these ones.
Tidy3D Extension -> https://hs.flexcompute.com/news/ai-assisted-simulation-in-tidy3d-ushering-in-a-new-era-of-photonic-design
Cursor -> https://open-vsx.org/extension/Flexcompute/tidy3d
Visual Studio Code -> https://marketplace.visualstudio.com/items?itemName=ms-python.python