Hosted rooms: the hub's side

Rooms made on the website (hosted_room, migration 0005), the REST routes in
docs/hosted-rooms.md, and the realtime room.* protocol: joining with the
capacity, adult and linked-account rules, seats, numbered messages with
forged senders dropped and a rate limit, closing. The Rooms page lists them,
with a form to make one and the owner's edit and close.

Co-Authored-By: Claude Opus 5.5 <[email protected]>

apps/web/lib/api.ts

@@ -45,6 +45,7 @@ export type ProductPage = Data<ReturnType<V1["products"]>["get"]>;
 export type Revision = ProductPage["revisions"][number];
 export type Catalog = Data<V1["catalogs"]["get"]>["catalogs"][number];
 export type LibraryEntry = Data<V1["library"]["get"]>["library"][number];
+export type HostedRoom = Data<V1["hosted-rooms"]["get"]>["rooms"][number];
 
 /** An error the API answered: message is written to be shown as is. */
 export class ApiError extends Error {