fix manual publish (#20)

## Summary

Fix publishing script

## How did you test this change?


https://github.com/launchdarkly/observability-sdk/actions/runs/14657209974/job/41134271702

## Are there any deployment considerations?

no

## Does this work require review from our design team?

no

Author: Vadman97

.github/workflows/manual-publish.yml

@@ -23,7 +23,6 @@ jobs:
               with:
                   repo_keys_map: |
                       {
-                          "launchdarkly/observability-sdk": ${{ toJSON(secrets.LAUNCHDARKLY_OBSERVABILITY_SDK_DEPLOY_KEY) }},
                           "launchdarkly/rrweb": ${{ toJSON(secrets.LAUNCHDARKLY_RRWEB_DEPLOY_KEY) }}
                       }
             - uses: launchdarkly/common-actions/init@main