[Types] Inline LuaCATS busted+luassert type annotations

[keithharvey]

Warning

Don't merge this PR by itself — it's one slice of a stacked review.
Merging an intermediate PR breaks the stack. The whole cleanup lands by
merging only the tip, fmt-llm, which pulls in every branch below it.

Part of BAR type-error cleanup. Rebuilds idempotently from master via just bar::migrate::stylua-cleanup-generate.

What it does: Hand-curated (not a codemod): vendors LuaCATS/busted and LuaCATS/luassert type annotations under types/busted/ and types/luassert/.

# busted-types - vendor LuaCATS busted + luassert type annotations under
# types/busted and types/luassert with per-directory provenance.md. Carried-
# commit leaf — no codemod; curated branch holds the hand-authored commit.

Waits on lumen-oss/lux#953 to replace with a Lux dev-dep declaration.

Branch Topology

All branches in the BAR type-error cleanup stack — see Bulk Migrations for the migration log and how to run just bar::migrate::stylua-cleanup. Regenerated deterministically by just bar::migrate::stylua-cleanup-generate. Generated 2026-08-04 22:18:37 UTC.

Leaves — each isolates one transform's diff vs fmt:

Branch	Command	Diff vs parent	Units
fmt	stylua	1429 files, +308036 −194387	✅ pass
mig-bracket	bar-lua-codemod bracket-to-dot	352 files, +8330 −8330	✅ pass
mig-rename-aliases	bar-lua-codemod rename-aliases	178 files, +377 −377	✅ pass
mig-detach-bar-modules	bar-lua-codemod detach-bar-modules	183 files, +1941 −1831	✅ pass
mig-integration-tests	<hand curated>	27 files, +174 −173	✅ pass
👉 mig-busted-types — you are here	<hand curated>	18 files, +1539 −92	✅ pass

Rollups — composite branches stacking the leaves and (for fmt-llm) the env + LLM layers:

Branch	Diff vs master	Diff vs parent	Units
mig	1449 files, +312829 −197631	529 files, +12217 −10668	✅ pass
fmt-llm-source	1453 files, +313191 −197778	57 files, +394 −179	✅ pass
fmt-llm	1454 files, +313241 −197799	32 files, +66 −37	✅ pass

[github-actions]

Integration Test Results

15 tests  ±0   7 ✅ ±0   4s ⏱️ ±0s
 1 suites ±0   8 💤 ±0 
 1 files   ±0   0 ❌ ±0 

Results for commit 63936d5. ± Comparison against base commit 07a42c4.

♻️ This comment has been updated with latest results.