test: add local provider test

package.json

@@ -14,7 +14,8 @@
     "test": "playwright test",
     "test:dc": "pnpm --filter @affine/datacenter test",
     "test:e2e:codegen": "npx playwright codegen http://localhost:8080",
-    "test:unit": "jest",
+    "test:unit": "vitest run",
+    "test:unit:watch": "vitest",
     "postinstall": "husky install",
     "notify": "node --experimental-modules scripts/notify.mjs",
     "check:ci": "pnpm lint & pnpm test"
@@ -24,24 +25,23 @@
     "*.{ts,tsx,js,jsx}": "npx eslint --cache --fix"
   },
   "devDependencies": {
-    "@jest/globals": "^29.3.1",
+    "@changesets/cli": "^2.26.0",
     "@playwright/test": "^1.29.1",
-    "@typescript-eslint/eslint-plugin": "^5.47.0",
-    "@typescript-eslint/parser": "^5.47.0",
     "@types/eslint": "^8.4.10",
     "@types/node": "^18.11.17",
+    "@typescript-eslint/eslint-plugin": "^5.47.0",
+    "@typescript-eslint/parser": "^5.47.0",
     "eslint": "^8.30.0",
     "eslint-config-next": "12.3.1",
     "eslint-config-prettier": "^8.5.0",
     "eslint-plugin-prettier": "^4.2.1",
+    "fake-indexeddb": "4.0.1",
     "got": "^12.5.3",
-    "jest": "^29.3.1",
-    "prettier": "^2.7.1",
-    "ts-jest": "^29.0.3",
-    "typescript": "^4.9.3",
-    "lint-staged": "^13.1.0",
     "husky": "^8.0.2",
-    "@changesets/cli": "^2.26.0"
+    "lint-staged": "^13.1.0",
+    "prettier": "^2.7.1",
+    "typescript": "^4.9.3",
+    "vitest": "^0.26.3"
   },
   "eslintConfig": {
     "root": true,