What Problem This Solves

Unbreaks main CI: test/scripts/android-app-i18n.test.ts ("keeps every native
locale resource key aligned with English") fails on main because #100788 added
the new_chat_in_worktree string to the English Android resources only. Every
whole-suite test shard (checks-node-compact-*-whole-*) on every open PR is
currently red because of it.

Why This Change Was Made

The native i18n pipeline already produced the translations: the locale-refresh
workflow committed them to the translation-memory artifacts
(apps/.i18n/native/*.json) in 24bca38. But those artifacts are a handoff —
the Android resource files are owned by the app slice and still lacked the key.
This PR materializes the artifact translations into all 21
values-*/strings.xml files, inserted at the same position as the English
entry.

All values come verbatim from the translation-memory artifacts (matched on the
android surface + exact source text "New chat in worktree"), with Android
resource escaping applied (e.g. Turkish Worktree\'de yeni sohbet).

User Impact

Android users get a localized "New chat in worktree" label in all supported
locales instead of a build/test break. Repo-wide: whole-suite CI shards go
green again.

Evidence

• node scripts/run-vitest.mjs run test/scripts/android-app-i18n.test.ts →
  2/2 pass (was failing with missing=new_chat_in_worktree for all 21
  locales).
• The checker also validates placeholder parity and Android apostrophe
  escaping; both pass (the string has no format placeholders; the one
  apostrophe, in Turkish, is escaped).
• Complements fix(ci): repair managed worktree follow-up gates #100793, which fixes the remaining main breakages from the same
  merge window (gateway-protocol unused type exports + stale docs map). This
  PR's own docs/lint/prod-types checks will stay red until that lands; the two
  PRs touch disjoint files.