workspace: pnpm monorepo with api, web, shared

TypeScript 7 strict, ESLint + Prettier, vitest, AGPL-3.0 license.
Decision 0001 records the latest-majors choice and the TS 6 alias.

Task: M0-T1

apps/api/tsconfig.json

@@ -0,0 +1,5 @@
+{
+  "extends": "../../tsconfig.base.json",
+  "compilerOptions": { "rootDir": "src", "outDir": "dist", "types": ["node"] },
+  "include": ["src"]
+}