docs(internal): drop hardcoded home path from bat-story-eval skill #5641

Job	Run time
Docs Size Check	4s
Ruff Lint	21s
Detect relevant changes	8s
AST Lint	19s
Check uv.lock	10s
Docker & Add-on Validation	1m 3s
Unit Tests	3m 59s
Mypy Type Check	35s
Site (astro check + eslint a11y)	30s
Component Version Gate	5s
E2E Validation Gate	3s
E2E Validation (${{ matrix.os }})	-1s
E2E Validation (embedded, ${{ matrix.os }})	-1s
E2E Validation (update path)	-1s
	7m 14s

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