Extract groombook/api from monorepo with CI workflow

- Add source code from apps/api
- Add packages/db and packages/types workspace dependencies
- Add GitHub Actions CI workflow (lint, typecheck, test, docker)
- Generate pnpm-lock.yaml
- Add .gitignore

Co-Authored-By: Paperclip <noreply@paperclip.ing>

vitest.config.ts

@@ -0,0 +1,21 @@
+import { defineConfig } from "vitest/config";
+import path from "path";
+
+export default defineConfig({
+  resolve: {
+    alias: {
+      "@groombook/db/factories": path.resolve(__dirname, "../../packages/db/src/factories.ts"),
+      "@groombook/db": path.resolve(__dirname, "../../packages/db/src/index.ts"),
+    },
+  },
+  test: {
+    coverage: {
+      provider: "v8",
+      include: ["src/lib/**"],
+      thresholds: {
+        lines: 80,
+        functions: 80,
+      },
+    },
+  },
+});