Add Biome formatter/linter and restore CI workflow (#6)

- Install Biome as the project formatter and linter
- Configure Biome with recommended settings
- Add format, lint, and check scripts to package.json
- Restore CI workflow from git history (commit 0a543e1)
- Extend CI with new Biome job for format and lint checks
- Apply Biome formatting to all TypeScript files
- Fix linting issues (use node: protocol, template literals, forEach pattern)

CI now runs on:
- All pushes to main branch
- All pull requests

Co-authored-by: Claude Sonnet 4.5 <noreply@anthropic.com>

biome.json

@@ -0,0 +1,34 @@
+{
+	"$schema": "https://biomejs.dev/schemas/2.3.11/schema.json",
+	"vcs": {
+		"enabled": true,
+		"clientKind": "git",
+		"useIgnoreFile": true
+	},
+	"files": {
+		"ignoreUnknown": false
+	},
+	"formatter": {
+		"enabled": true,
+		"indentStyle": "tab"
+	},
+	"linter": {
+		"enabled": true,
+		"rules": {
+			"recommended": true
+		}
+	},
+	"javascript": {
+		"formatter": {
+			"quoteStyle": "double"
+		}
+	},
+	"assist": {
+		"enabled": true,
+		"actions": {
+			"source": {
+				"organizeImports": "on"
+			}
+		}
+	}
+}