[docs] sync version references and add missing CLI flags

[Mossaka]

Tracking issue from closed PR #812.

Documentation needs synchronization with code changes from version 0.16.2 release.

Changes needed

docs/quickstart.md:

• Update version example from 0.13.1 to 0.16.2

docs/usage.md:

• Add missing --enable-api-proxy flag documentation with reference to api-proxy-sidecar.md
• Add missing --allow-full-filesystem-access flag documentation with security warning
• Update Docker image examples from v0.13.0 to latest tag

Original PR: #812

[github-actions]

👋 Hello! I noticed this issue is related to an existing documentation issue:

• Document missing CLI flags in usage.md #495 - Document missing CLI flags in usage.md - Tracks adding 6 CLI flags to docs/usage.md (--skip-pull, --image-registry, --image-tag, --proxy-logs-dir, --allow-host-ports, --container-workdir)

Both issues focus on adding missing CLI flag documentation to docs/usage.md, though they cover different sets of flags:

• This issue ([docs] sync version references and add missing CLI flags #836): --enable-api-proxy and --allow-full-filesystem-access + version reference updates
• Issue Document missing CLI flags in usage.md #495: 6 different flags listed above

These are complementary tasks that should be coordinated to ensure the documentation remains consistent and complete. Consider whether these should be merged into a single comprehensive documentation update or kept separate.

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[github-actions]

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