Functions: generate "other" functions from system tables

[Blargian]

Summary

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/docusaurus.config.js
• 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

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Project	Deployment	Preview	Comments	Updated (UTC)
clickhouse-docs	Error		Comment	Oct 6, 2025 6:51pm
clickhouse-docs-jp	Building	Preview	Comment	Oct 6, 2025 6:51pm

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Project	Deployment	Preview	Comments	Updated (UTC)
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[Copilot]

Pull Request Overview

This PR adds support for generating documentation for "Other" category functions from system tables. It adds the "Other" category to the function generation script to handle functions that don't fit into existing categories.

• Adds "Other" as a new function category to the generation script
• Includes corresponding source and destination file entries for other-functions.md
• Ensures complete coverage of all functions in the documentation generation process

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[Blargian]

Failing docs check here fixed in ClickHouse/ClickHouse#88141