fix: update js-client-sdk to latest (#70)

<!-- CURSOR_SUMMARY -->
> [!NOTE]
> **Low Risk**
> Single dependency patch bump with no application code changes in this
repo.
> 
> **Overview**
> Bumps the **`launchdarkly-js-client-sdk`** dependency from **3.9.0**
to **3.9.3** in `package.json`, pulling in the latest patch release of
the underlying browser client SDK used by this Vue bindings package.
> 
> <sup>Reviewed by [Cursor Bugbot](https://cursor.com/bugbot) for commit
ec7583f. Bugbot is set up for automated
code reviews on this repo. Configure
[here](https://www.cursor.com/dashboard/bugbot).</sup>
<!-- /CURSOR_SUMMARY -->

Author: joker23

package.json

@@ -51,7 +51,7 @@
   },
   "homepage": "https://github.com/launchdarkly/vue-client-sdk#readme",
   "dependencies": {
-    "launchdarkly-js-client-sdk": "3.9.0"
+    "launchdarkly-js-client-sdk": "3.9.3"
   },
   "devDependencies": {
     "@types/jest": "^29.5.12",