Fix the OBS release GitHub Action

[lslezak]

Problem

• The GitHub publish action fails, see https://github.com/agama-project/agama/actions/runs/12713228836

Solution

• Update the action definition file
• Basically copies the definitions from obs-staging-rust.yml, obs-staging-service.yml, obs-staging-web.yml and obs-staging-products.yml