chore: update SDK dependencies to latest compatible versions

[devin-ai-integration]

Summary

Update the minimum compatible dependency versions while preserving each existing constraint style:

• @launchdarkly/openfeature-node-server: >= 1.0.0 → >= 1.3.3
• @launchdarkly/node-server-sdk: >= 9.4.5 → >= 9.12.1
• @openfeature/server-sdk: ^1.14.0 → ^1.22.0

These are the latest npm releases in the currently configured major versions. The example's APIs remain supported; no deprecated-API migration is needed.

Validation so far:

• npm install (0 vulnerabilities)
• npm ls --depth=0
• node --check index.js

Link to Devin session: https://app.devin.ai/sessions/5253c5434b374ffbbcff7e9a23a8b5a2

---

Note

Low Risk
Example app dependency version bumps only; no logic, auth, or runtime behavior changes in the repo.

Overview
Dependency-only change in package.json: minimum/floor versions for the three runtime SDKs are raised while keeping the same constraint styles (>= vs ^).

• @launchdarkly/openfeature-node-server: >= 1.0.0 → >= 1.3.3
• @launchdarkly/node-server-sdk: >= 9.4.5 → >= 9.12.1
• @openfeature/server-sdk: ^1.14.0 → ^1.22.0

No application source changes; the sample still uses the same OpenFeature + LaunchDarkly provider APIs.

^{Reviewed by Cursor Bugbot for commit 2093730. Bugbot is set up for automated code reviews on this repo. Configure here.}

[devin-ai-integration]

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