## Problem
`pg-clients` can't start:
```
The workflow is not valid. .github/workflows/pg-clients.yml (Line: 44, Col: 3): Error calling workflow 'neondatabase/neon/.github/workflows/build-build-tools-image.yml@aa19f10e7e958fbe0e0641f2e8c5952ce3be44b3'. The nested job 'check-image' is requesting 'packages: read', but is only allowed 'packages: none'. .github/workflows/pg-clients.yml (Line: 44, Col: 3): Error calling workflow 'neondatabase/neon/.github/workflows/build-build-tools-image.yml@aa19f10e7e958fbe0e0641f2e8c5952ce3be44b3'. The nested job 'build-image' is requesting 'packages: write', but is only allowed 'packages: none'.
```
## Summary of changes
- Grant required `packages: write` permissions to the workflow