feat: add doc section on automated pgdump

[Amogh-Bharadwaj]

Summary

PG to PG replication has an automated mode for PG dump, this PR adds documentation around that and the distinct Manual mode

Checklist

• Delete items not relevant to your PR
• URL changes should add a redirect to the old URL via https://github.com/ClickHouse/clickhouse-docs/blob/main/vercel.json
• If adding a new integration page, also add an entry to the integrations list here: https://github.com/ClickHouse/clickhouse-docs/blob/main/docs/integrations/index.mdx

[vercel]

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Project	Deployment	Actions	Updated (UTC)
clickhouse-docs	Error		Jul 30, 2026 4:31pm

4 Skipped Deployments

Project	Deployment	Actions	Updated (UTC)
clickhouse-docs-jp	Ignored		Jul 30, 2026 4:31pm
clickhouse-docs-ko	Ignored	Preview	Jul 30, 2026 4:31pm
clickhouse-docs-ru	Ignored	Preview	Jul 30, 2026 4:31pm
clickhouse-docs-zh	Ignored	Preview	Jul 30, 2026 4:31pm

[github-actions]

Thanks for contributing to the ClickHouse documentation!

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