web: bump typescript from 5.1.6 to 5.2.2 in /web (#6620)

Bumps [typescript](https://github.com/Microsoft/TypeScript) from 5.1.6 to 5.2.2.
- [Release notes](https://github.com/Microsoft/TypeScript/releases)
- [Commits](https://github.com/Microsoft/TypeScript/commits)

---
updated-dependencies:
- dependency-name: typescript
  dependency-type: direct:development
  update-type: version-update:semver-minor
...

Signed-off-by: dependabot[bot] <support@github.com>
Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>

web/package-lock.json

@@ -93,7 +93,7 @@
                 "ts-lit-plugin": "^1.2.1",
                 "tslib": "^2.6.2",
                 "turnstile-types": "^1.1.2",
-                "typescript": "^5.1.6",
+                "typescript": "^5.2.2",
                 "vite-tsconfig-paths": "^4.2.0"
             },
             "optionalDependencies": {
@@ -21725,9 +21725,9 @@
             }
         },
         "node_modules/typescript": {
-            "version": "5.1.6",
-            "resolved": "https://registry.npmjs.org/typescript/-/typescript-5.1.6.tgz",
-            "integrity": "sha512-zaWCozRZ6DLEWAWFrVDz1H6FVXzUSfTy5FUMWsQlU8Ym5JP9eO4xkTIROFCQvhQf61z6O/G6ugw3SgAnvvm+HA==",
+            "version": "5.2.2",
+            "resolved": "https://registry.npmjs.org/typescript/-/typescript-5.2.2.tgz",
+            "integrity": "sha512-mI4WrpHsbCIcwT9cF4FZvr80QUeKvsUsUvKDoR+X/7XHQH98xYD8YHZg7ANtz2GtZt/CBq2QJ0thkGJMHfqc1w==",
             "dev": true,
             "bin": {
                 "tsc": "bin/tsc",

web/package.json

@@ -110,7 +110,7 @@
         "ts-lit-plugin": "^1.2.1",
         "tslib": "^2.6.2",
         "turnstile-types": "^1.1.2",
-        "typescript": "^5.1.6",
+        "typescript": "^5.2.2",
         "vite-tsconfig-paths": "^4.2.0"
     },
     "optionalDependencies": {