docs: clarify credit and async API behavior

[weilun88313]

Summary

• Clarify credit behavior for exhibitor company search and event search
• Document async contact unlock item-level result handling and final balance reconciliation
• Add live API edge-case guidance for event counts, personnel samples, LinkedIn lookup fallback, ranking, and profile recommendations
• Refresh llms-full.txt from the updated docs

Verification

• python3 scripts/sync-public-assets.py
• python3 -m json.tool docs.json >/dev/null
• navigation page existence check: nav ok: 37 pages
• git diff --check
• python3 -m json.tool scripts/lensmor_skill_lab_spec.json >/dev/null
• python3 -m py_compile scripts/lensmor_skill_lab.py
• local read-only skill lab: .tmp/skill-lab/20260615T144102/report.md

Note: local Skill lab files were intentionally not included in this PR; this PR only syncs public API docs.

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