build(deps): bump botocore from 1.36.13 to 1.36.16 in /services/staging

Bumps [botocore](https://github.com/boto/botocore) from 1.36.13 to 1.36.16.
- [Commits](boto/botocore@1.36.13...1.36.16)

---
updated-dependencies:
- dependency-name: botocore
  dependency-type: direct:production
  update-type: version-update:semver-patch
...

Signed-off-by: dependabot[bot] <[email protected]>

Author: dependabot[bot]