split: sync-client services layer

Add build-vault-url helper. Rewrite fetch-controller and websocket-manager
(plus their tests). Update server-config and sync-service to consume the
new error types and the regenerated API types from previous chunks.

frontend/sync-client/src/services/build-vault-url.ts

@@ -0,0 +1,8 @@
+import type { Settings } from "../persistence/settings";
+
+export function buildVaultUrl(settings: Settings, path: string): string {
+    const { vaultName, remoteUri } = settings.getSettings();
+    const remoteUriWithoutTrailingSlash = remoteUri.replace(/\/+$/, "");
+    const encodedVaultName = encodeURIComponent(vaultName.trim());
+    return `${remoteUriWithoutTrailingSlash}/vaults/${encodedVaultName}${path}`;
+}