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.

packages/tsconfig.workspace.json

@@ -0,0 +1,16 @@
+{
+	"extends": "../tsconfig.base.json",
+	"include": [
+		"*/src",
+		"*/test",
+		"*/tests",
+		"*/scripts",
+		"*/bench",
+		"*/bin",
+		"*/native"
+	],
+	"exclude": [
+		"*/node_modules",
+		"*/dist"
+	]
+}