feat(omo-codex): add start-work continuation component

Ultraworked with [Sisyphus](https://github.com/code-yeongyu/oh-my-openagent)

Co-authored-by: Sisyphus <clio-agent@sisyphuslabs.ai>

packages/omo-codex/plugin/components/start-work-continuation/tsconfig.json

@@ -0,0 +1,27 @@
+{
+	"compilerOptions": {
+		"target": "ESNext",
+		"module": "NodeNext",
+		"moduleResolution": "NodeNext",
+		"lib": ["ESNext"],
+		"strict": true,
+		"exactOptionalPropertyTypes": true,
+		"noUncheckedIndexedAccess": true,
+		"noPropertyAccessFromIndexSignature": true,
+		"verbatimModuleSyntax": true,
+		"noImplicitOverride": true,
+		"noImplicitReturns": true,
+		"noFallthroughCasesInSwitch": true,
+		"noUnusedLocals": true,
+		"noUnusedParameters": true,
+		"esModuleInterop": true,
+		"allowImportingTsExtensions": true,
+		"skipLibCheck": true,
+		"forceConsistentCasingInFileNames": true,
+		"resolveJsonModule": true,
+		"useDefineForClassFields": false,
+		"types": ["node"],
+		"noEmit": true
+	},
+	"include": ["src/**/*", "test/**/*", "vitest.config.ts"]
+}