fix(addon): restore Supervisor app management #5748

Job	Run time
Ruff Lint	24s
Unit Tests	3m 54s
Docs Size Check	7s
Component Version Gate	9s
Check uv.lock	14s
Docker & Add-on Validation	1m 7s
Mypy Type Check	37s
AST Lint	21s
Site (astro check + eslint a11y)	42s
Detect relevant changes	14s
E2E Validation (update path)	3m 25s
E2E Validation (ubuntu-24.04-arm)	5m 8s
E2E Validation (ubuntu-latest)	5m 43s
E2E Validation (embedded, ubuntu-latest)	7m 0s
E2E Validation (embedded, ubuntu-24.04-arm)	5m 10s
E2E Validation Gate	3s
	34m 18s

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