refactor: restructured monorepo TypeScript config and build tasks for unified setup

- Migrated all package tsconfig files to extend tsconfig.workspace.json for unified TypeScript configuration across monorepo.
- Consolidated build and check scripts across 10+ packages to use biome for linting/formatting with separate type checking via tsgo.
- Renamed build scripts from build:native and build:binary to build for simplified command naming across packages/natives and packages/coding-agent.
- Refactored CI workflow to invoke bun tasks instead of inline shell scripts, reducing workflow complexity by 40+ lines.
- Removed sync-exports.ts and repro-stuck.ts scripts; deleted path aliases from tsconfig.base.json in favor of workspace-based configuration.
- Updated turbo.json with new task definitions (check:types, lint, fmt, fix) and removed build:native/embed:native tasks.

tsconfig.json

@@ -1,8 +1,10 @@
 {
-	"extends": "./tsconfig.base.json",
-	"compilerOptions": {
-		"noEmit": true
-	},
-	"include": ["packages/*/src/**/*", "packages/*/test/**/*"],
-	"exclude": ["packages/coding-agent/examples/**/*", "packages/stats/src/client/**/*", "packages/web-ui/**/*", "**/dist/**"]
+	"references": [
+		{
+			"path": "./packages/tsconfig.workspace.json"
+		},
+		{
+			"path": "./tsconfig.tools.json"
+		}
+	]
 }