Phase 4: TypeScript/Node.js Components

Updated all TypeScript and JavaScript source files:

- Renamed sdk/typescript/src/codex.ts → llmx.ts
- Renamed sdk/typescript/src/codexOptions.ts → llmxOptions.ts
- Updated class names: Codex → LLMX, CodexExec → LLMXExec, CodexOptions → LLMXOptions
- Updated property names: codexPathOverride → llmxPathOverride
- Updated package imports: @openai/codex-sdk → @llmx/llmx-sdk
- Updated all references in sample files and tests
- Renamed responses-api-proxy binary: codex-responses-api-proxy.js → llmx-responses-api-proxy.js
- Updated comments referencing Codex → LLMX
- Updated session path references: ~/.codex → ~/.llmx

Files changed: 16 TypeScript/JavaScript files across SDK, samples, and tests.

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude <noreply@anthropic.com>

llmx-rs/responses-api-proxy/npm/bin/llmx-responses-api-proxy.js

@@ -1,5 +1,5 @@
 #!/usr/bin/env node
-// Entry point for the Codex responses API proxy binary.
+// Entry point for the LLMX responses API proxy binary.
 
 import { spawn } from "node:child_process";
 import path from "path";
@@ -50,7 +50,7 @@ if (!targetTriple) {
 
 const vendorRoot = path.join(__dirname, "..", "vendor");
 const archRoot = path.join(vendorRoot, targetTriple);
-const binaryBaseName = "codex-responses-api-proxy";
+const binaryBaseName = "llmx-responses-api-proxy";
 const binaryPath = path.join(
   archRoot,
   binaryBaseName,