Docs: Add documentation for .continue/configs/ directory support

[continue]

Summary

PR #11935 added support for .continue/configs/ as a third directory (alongside .continue/agents/ and .continue/assistants/) for loading local config profiles.

Feature Description

• YAML files placed in .continue/configs/ (workspace or global) are now discovered, watched, and loaded as local profiles
• This enables version-controlled, workspace-level configuration profiles that can be shared with the team
• The feature mirrors the existing pattern of .continue/agents/ and .continue/assistants/ directories

Documentation Needed

1. Update the configuration documentation (customize/deep-dives/configuration.mdx) to mention the .continue/configs/ directory
2. Document that placing YAML config files in .continue/configs/ (workspace root) will make them appear as selectable local profiles
3. Document that file creation/deletion in this directory triggers config reload automatically
4. Clarify the difference between:
   • ~/.continue/config.yaml - user-level global configuration
   • .continue/configs/ - workspace-level config profiles (version-controlled)

Related PR

#11935

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Co-Authored-By: Continue noreply@continue.dev
Co-authored-by: bekahhw rhawrot@gmail.com