feat: add TypeScript SDK support for process management

Add process CRUD operations (create, get, list, update, delete) and
event streaming to the TypeScript SDK. Includes integration tests,
mock agent updates, and test environment fixes for cross-platform
home directory handling.

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

sdks/persist-sqlite/tests/integration.test.ts

@@ -55,6 +55,10 @@ describe("SQLite persistence driver", () => {
       timeoutMs: 30000,
       env: {
         XDG_DATA_HOME: dataHome,
+        HOME: dataHome,
+        USERPROFILE: dataHome,
+        APPDATA: join(dataHome, "AppData", "Roaming"),
+        LOCALAPPDATA: join(dataHome, "AppData", "Local"),
       },
     });
     baseUrl = handle.baseUrl;