ci: add TeamCity build script for post-merge algolia index updation

[ebembi-crdb]

Summary

This PR introduces a TeamCity build script that automates post-merge tasks for the main branch of the docs repository. The script performs the following steps:

• Sets the site URL for production builds.
• Installs dependencies using Bundler.
• Builds the site using Jekyll with the appropriate configuration files.
• Runs the Algolia indexing process to update search results.

Why This Change Is Needed

This is being done to decouple it from the netlify build

Notes

• The script expects the PROD_ALGOLIA_API_KEY environment variable to be set in the build environment.
• It is intended to run in the Internal / Cockroach / Post Merge / Docs TeamCity project.

Testing

1. Ensure the script runs successfully in a local environment with the required dependencies and environment variables.
2. Validate that the site builds correctly and the Algolia indexing process completes without errors.

[github-actions]

Files changed:

• src/current/teamcity_algolia_production_build.sh

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[mikeCRL]

LGTM! Left a comment on a minor style choice from the old script, that we could change here - or leave as-is, to avoid any delay.

[mikeCRL]

Minor nit, re. this line inherited from the old script.

For better readability, we could have the key and log level assignment on their own lines. (No downside in allowing them to persist for the 'rest of the script', as this is essentially the end of the script.)

Please feel free to merge as-is, though!