feat(meetings): live invite, scheduling calendar, Discord-style redesign

- Live invite: ring a clinic member into a room (socket call:invite + a bell
  notification); the invitee gets a toast with a Join action. Notifications of
  type "meeting" deep-link to /messages/meetings?room=, which auto-joins.
- Scheduling: new scheduled_meetings table + /api/meetings/events (list mine,
  create, delete); a Calendar tab on the Meetings page with a month picker
  (meeting-day dots), the day's agenda, and a Schedule-meeting dialog
  (title/date/time/participants).
- Redesign: rounded control bar with tooltips (mic/cam/screen/invite + separated
  red Leave), speaking ring on tiles (Web Audio), and live room-occupancy counts
  via call:presence broadcasts. Migration 0025.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>

backend/drizzle/0025_nice_paladin.sql

@@ -0,0 +1,14 @@
+CREATE TABLE "scheduled_meetings" (
+	"id" uuid PRIMARY KEY DEFAULT gen_random_uuid() NOT NULL,
+	"organization_id" text NOT NULL,
+	"title" text NOT NULL,
+	"date" text NOT NULL,
+	"time" text NOT NULL,
+	"participants" jsonb DEFAULT '[]'::jsonb NOT NULL,
+	"created_by" text,
+	"created_at" timestamp DEFAULT now() NOT NULL
+);
+--> statement-breakpoint
+ALTER TABLE "scheduled_meetings" ADD CONSTRAINT "scheduled_meetings_organization_id_organization_id_fk" FOREIGN KEY ("organization_id") REFERENCES "public"."organization"("id") ON DELETE cascade ON UPDATE no action;--> statement-breakpoint
+ALTER TABLE "scheduled_meetings" ADD CONSTRAINT "scheduled_meetings_created_by_user_id_fk" FOREIGN KEY ("created_by") REFERENCES "public"."user"("id") ON DELETE set null ON UPDATE no action;--> statement-breakpoint
+CREATE INDEX "scheduled_meetings_org_idx" ON "scheduled_meetings" USING btree ("organization_id");

backend/drizzle/meta/_journal.json

@@ -176,6 +176,13 @@
       "when": 1781891060177,
       "tag": "0024_skinny_iron_fist",
       "breakpoints": true
+    },
+    {
+      "idx": 25,
+      "version": "7",
+      "when": 1781910033543,
+      "tag": "0025_nice_paladin",
+      "breakpoints": true
     }
   ]
 }