build(deps-dev): bump @sentry/browser in /browser-ext (#719)

Bumps [@sentry/browser](https://github.com/getsentry/sentry-javascript) from 10.42.0 to 10.43.0.
- [Release notes](https://github.com/getsentry/sentry-javascript/releases)
- [Changelog](https://github.com/getsentry/sentry-javascript/blob/develop/CHANGELOG.md)
- [Commits](getsentry/sentry-javascript@10.42.0...10.43.0)

---
updated-dependencies:
- dependency-name: "@sentry/browser"
  dependency-version: 10.43.0
  dependency-type: direct:development
  update-type: version-update:semver-minor
...

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

Author: dependabot[bot]

browser-ext/package-lock.json

@@ -21,7 +21,7 @@
         "@rollup/plugin-commonjs": "^29.0.2",
         "@rollup/plugin-node-resolve": "^16.0.3",
         "@rollup/plugin-typescript": "^12.3.0",
-        "@sentry/browser": "^10.42.0",
+        "@sentry/browser": "^10.43.0",
         "@types/chrome": "^0.1.37",
         "fuse.js": "^7.1.0",
         "lit": "^3.3.2",