DocCheck path regexes match LifeOS/ but the shipped tree is LIFEOS/ — the main backticked-reference class and all @-imports are never checked (same bug as #1541) #2191

Observed on 7.54.0.

What

// LIFEOS/TOOLS/DocCheck.ts:37
/`((?:LifeOS|hooks|skills|agents|Pulse|USER|MEMORY|Components|Algorithm|Tools)\/[\w/.@-]+\.\w+)`/g,

// LIFEOS/TOOLS/DocCheck.ts:43
/^@(LifeOS\/[\w/.@-]+\.md)/gm,

Both alternations are case-sensitive and spell the tree LifeOS/. The shipped tree is LIFEOS/. The comments directly above each pattern already use the real casing (`LIFEOS/DOCUMENTATION/Hooks/HookSystem.md`, @LIFEOS/USER/FILE.md), so the code contradicts its own examples.

This is the same class of bug already fixed upstream as #1541, in ReferenceCheck.ts, which carries the note that "the old LifeOS/-cased regex never matched anything — orphan detection was structurally dead". DocCheck.ts was not updated with it.

Repro

A doc with three deliberately broken references:

`LIFEOS/DOCUMENTATION/DoesNotExist.md`   (real casing)
`LifeOS/DOCUMENTATION/DoesNotExist.md`   (legacy casing)
`hooks/DoesNotExist.hook.ts`             (control)

bun LIFEOS/TOOLS/DocCheck.ts --json

Observed: "refsChecked": 2 — findings for the legacy-cased and hooks/ references only. The LIFEOS/ reference is never extracted.

For scale: on a live tree there are 131 backticked `LIFEOS/…` references in the docs DocCheck scans and 0 `LifeOS/…`, and every @-import in CLAUDE.md is @LIFEOS/…, so pattern 4 is entirely dead.

Expected

All three reported missing.

Fix sketch

Replace the LifeOS alternative with LIFEOS in both patterns (and in the table-cell pattern at :45), or make the alternation case-insensitive — the same fix #1541 applied to ReferenceCheck.ts.