Show a newly created bot in the rail at once

The rail was built from page props and only knew bots it already had, so a
bot the coordinator created did not appear until a reload.

create_bot and add_bot_to_workspace now push server:bot-created
(BotCreatedData) to everyone who sees the bot: its rail row, the
workspaces it is in, and whether it belongs in that user's own chat list.
useLiveBots inserts it, after the pinned coordinator outside a workspace
and only when the open workspace is one it joined. liveRelay pushes created
bots too, so a bot added by another process still shows.

src/bots-queue/push-bot-created.ts

@@ -0,0 +1,59 @@
+import BunSQLite from "@moduletrace/bun-sqlite";
+import type { BUN_SQLITE_COBBLE_BOTS } from "@/db/types/db";
+import type { BotWithLastMessage } from "@/src/types";
+import grabBotAudience from "@/src/functions/backend/db/access/grab-bot-audience";
+import isBotInOwnChat from "@/src/functions/backend/db/bots/is-bot-in-own-chat";
+import { sendToUser } from "@/src/websocket/(functions)/send-to-user";
+
+type Params = {
+    bot: BUN_SQLITE_COBBLE_BOTS;
+    /**
+     * Only these users (the connected ones, for the live relay); else
+     * everyone who sees the bot.
+     */
+    users?: Set<string>;
+};
+
+/**
+ * Pushes `server:bot-created` to everyone who sees a bot that just joined
+ * the crew or a workspace: its rail row, the workspaces it's in, and
+ * whether it also belongs in that user's own chat list.
+ */
+export default async function pushBotCreated({ bot, users }: Params) {
+    if (!bot.id) return;
+
+    const bot_id = Number(bot.id);
+
+    const workspace_ids = (
+        (
+            await BunSQLite.sql<{ workspace_id: number }>({
+                sql: `SELECT workspace_id FROM workspace_bots WHERE bot_id = ?`,
+                values: [bot_id],
+            })
+        ).payload || []
+    ).map((row) => Number(row.workspace_id));
+
+    const data: BotWithLastMessage = {
+        ...bot,
+        unread: 0,
+        last_activity_at: null,
+        last_message_text: null,
+        last_message_at: null,
+    };
+
+    for (const user_id of await grabBotAudience({ bot_id })) {
+        if (users && !users.has(String(user_id))) continue;
+
+        sendToUser({
+            user_id,
+            data: {
+                event: "server:bot-created",
+                data: {
+                    bot: data,
+                    workspace_ids,
+                    in_own_chat: await isBotInOwnChat({ bot_id, user_id }),
+                },
+            },
+        });
+    }
+}