feat: add user invite management (#338)

* feat: add invite management page

* refactor: improve existing translations

* test: add test for invite router

* feat: update mysql schema to match sqlite schema

* fix: format issues

* fix: deepsource issues

* fix: lint issues

* chore: address pull request feedback

packages/api/src/root.ts

@@ -1,6 +1,7 @@
 import { appRouter as innerAppRouter } from "./router/app";
 import { boardRouter } from "./router/board";
 import { integrationRouter } from "./router/integration";
+import { inviteRouter } from "./router/invite";
 import { locationRouter } from "./router/location";
 import { logRouter } from "./router/log";
 import { userRouter } from "./router/user";
@@ -9,6 +10,7 @@ import { createTRPCRouter } from "./trpc";
 
 export const appRouter = createTRPCRouter({
   user: userRouter,
+  invite: inviteRouter,
   integration: integrationRouter,
   board: boardRouter,
   app: innerAppRouter,