refactor: apply repository naming contract

Apply the accepted pre-release package, service, type, directory, and role renames as one repository-wide change.

docs/development.md

@@ -59,7 +59,7 @@ Host and Client stay two aggregate programs because both sides declaration-merge
 - A script that builds a repo-wide `ts.Program` seeds `tsconfig.host.json` or `tsconfig.client.json` explicitly — never the root solution, because flattening both aggregates into one program collides the `Context` merges.
 - A new package is registered in exactly one aggregate. Having both a Node loader entry and a browser entry is not a reason to split a package; an ordinary Client plugin produces both runtime artifacts during the Client build phase.
 
-`api/remotes` is the repository's only package with split Host and Client tsconfigs. Its Host entry must participate in the Host TypeRT graph, while its Client entry imports `/remote` declarations that Host tsdown must generate first. The package-root `tsconfig.json` is therefore only a solution, and the two aggregates and direct consumers reference `tsconfig.host.json` or `tsconfig.client.json` respectively. The workspace `constraints` gate walks the reachable Project Reference graph and checks each referencing project's own compiler face: a single-config target remains valid from either face, while a split target must name the matching leaf rather than its solution root or opposite leaf; it discovers split packages from the presence of both leaf configs, so a new split joins the gate automatically. Do not copy this structure to other packages; the [`api-remotes` README](../packages/api/remotes/README.md) explains the Host/Client split and build order.
+`api/remotes` is the repository's only package with split Host and Client tsconfigs. Its Host entry must participate in the Host Typert graph, while its Client entry imports `/remote` declarations that Host tsdown must generate first. The package-root `tsconfig.json` is therefore only a solution, and the two aggregates and direct consumers reference `tsconfig.host.json` or `tsconfig.client.json` respectively. The workspace `constraints` gate walks the reachable Project Reference graph and checks each referencing project's own compiler face: a single-config target remains valid from either face, while a split target must name the matching leaf rather than its solution root or opposite leaf; it discovers split packages from the presence of both leaf configs, so a new split joins the gate automatically. Do not copy this structure to other packages; the [`api-remotes` README](../packages/api/remotes/README.md) explains the Host/Client split and build order.
 
 The root build follows the generated dependency order:
 
@@ -73,9 +73,9 @@ pnpm run build:web
 
 Both tsdown passes use the same complete workspace match. They neither scan build artifacts to discover Client packages nor maintain a Host/Client package filter list. Package-local tsdown configs select entries for the current phase through `DSH_BUILD_FACE`: an ordinary Client plugin produces both its Node loader and browser bundle during the Client phase; `api-remotes` uses `hostPhase: true` to produce its Host entry early and only its browser bundle during the Client phase. Tsdown consumes only the JavaScript emitted to `lib/types` by the preceding tsc phase.
 
-TypeRT runs only during Host tsdown, seeded by `tsconfig.host.json`. It analyzes Host types and generates both Host reflection artifacts and the Host-for-Client Remote projection; Client tsdown does not start TypeRT. Consequently, `pnpm run typecheck` runs the complete Host lib phase before Client tsc, while `pnpm run build` continues through Client tsdown and the Web build. The [API Remotes generated-contract build note](../.agents/notes/implemented/process/2026-08-08-api-remotes-generated-contract-build.md) records this ordering decision.
+Typert runs only during Host tsdown, seeded by `tsconfig.host.json`. It analyzes Host types and generates both Host reflection artifacts and the Host-for-Client Remote projection; Client tsdown does not start Typert. Consequently, `pnpm run typecheck` runs the complete Host lib phase before Client tsc, while `pnpm run build` continues through Client tsdown and the Web build. The [API Remotes generated-contract build note](../.agents/notes/implemented/process/2026-08-08-api-remotes-generated-contract-build.md) records this ordering decision.
 
-Static analysis and tests resolve workspace imports through the base `paths` map to `src` and must pass on a clean tree; gates that consume built `lib/` output declare that dependency explicitly. Generated Host-for-Client Remote declarations are the deliberate exception: the public `typecheck`, `lint`, and `doc-typecheck` commands generate them first, while internal `*:contracts-ready` scripts assume that an invoking public command or scheduler gate already depends on the TypeRT contract-generation pass or the complete build. See the [solution-root note](../.agents/notes/implemented/process/2026-07-22-tsconfig-solution-root-two-aggregates.md) for the two-aggregate setup, the [ts-build-config note](../.agents/notes/implemented/process/2026-06-17-ts-build-config.md) for tsc-first emit ownership, and the [TypeRT Remote note](../.agents/notes/implemented/architecture/2026-08-02-typert-remote-method-calls.md) for the gate-preparation contract.
+Static analysis and tests resolve workspace imports through the base `paths` map to `src` and must pass on a clean tree; gates that consume built `lib/` output declare that dependency explicitly. Generated Host-for-Client Remote declarations are the deliberate exception: the public `typecheck`, `lint`, and `doc-typecheck` commands generate them first, while internal `*:contracts-ready` scripts assume that an invoking public command or scheduler gate already depends on the Typert contract-generation pass or the complete build. See the [solution-root note](../.agents/notes/implemented/process/2026-07-22-tsconfig-solution-root-two-aggregates.md) for the two-aggregate setup, the [ts-build-config note](../.agents/notes/implemented/process/2026-06-17-ts-build-config.md) for tsc-first emit ownership, and the [Typert Remote note](../.agents/notes/implemented/architecture/2026-08-02-typert-remote-method-calls.md) for the gate-preparation contract.
 
 Business services declare callable methods on the Host with `@Remote` or `@RemoteScope`; the Host build generates Host-for-Client types and runtime contributions, and the Client's `api-remotes` composition loads those contributions under `ctx.remote` and scoped `agentCtx.remote` namespaces. See [API Gateway](api-gateway.md) for the generated artifacts on both sides, their assembly relationships, the SRC development fallback, and the Web build order.
 
@@ -108,7 +108,7 @@ lefthook is configured in `lefthook.yml` as a fast local checkpoint:
 
 - `pre-commit` verifies staged pairing records against the staged owner blobs, validates staged files with the project-free `.oxlintrc.staged.json` profile and applies Oxlint fixes with one bounded retry, regenerates `THIRD_PARTY_NOTICES.md` when a staged file is one of its inputs, checks the staged diff for whitespace errors, and runs the vendor manifest guard.
 - `pre-merge-commit` performs the same index-backed pairing check before Git creates an automatic merge commit.
-- `pre-push` runs `pnpm run typecheck`, which completes the Host lib phase, including generated TypeRT contracts, before the Client TypeScript check.
+- `pre-push` runs `pnpm run typecheck`, which completes the Host lib phase, including generated Typert contracts, before the Client TypeScript check.
 
 The vendor manifest guard checks that changes under `vendor/*/src` are staged with the matching `vendor/README.md` manifest update. See `vendor/README.md` before editing vendored code.