feat(avbeat): point forum + auth at av schema, swap newsletter chips to AV verticals

Schema wiring — AV Beat was inheriting a 'bb' default schema from the
original fork. Fixed three call sites so the AV Beat app reads/writes
the av schema unless an explicit NEXT_PUBLIC_SUPABASE_SCHEMA override
is set:
  - src/lib/supabase/client.tsx:8 default 'bb' -> 'av'
  - src/lib/supabase/server.tsx:11 default 'bb' -> 'av'
  - src/app/api/auth/lookup-email/route.ts :31 + :42 hardcoded
    .schema('bb') -> .schema('av') so signup lookup hits the
    AV-side subscriber tables, not BB's.

Newsletter signup — homepage chips were the BB taxonomy ('Broadcast',
'Post Production', 'Animation', 'AI & Automation', 'Live Production',
'NAB Show'). Swapped for pro-AV verticals that align with the new
forum categories: Conference Rooms & UC, Digital Signage, Live Events
& Staging, Displays & LED, Audio, AV over IP, InfoComm & ISE.
Default selected flipped from 'Broadcast' to 'Conference Rooms & UC'
so the form doesn't pre-select a non-existent value.

src/app/api/auth/lookup-email/route.ts

@@ -28,7 +28,7 @@ export async function GET(req: NextRequest) {
 
   // Layer 1 — the rich subscriber registry (95k+ rows)
   const { data: sub } = await svc
-    .schema("bb")
+    .schema("av")
     .from("email_subscribers")
     .select("id, status")
     .eq("email_domain", email.split("@")[1])
@@ -39,7 +39,7 @@ export async function GET(req: NextRequest) {
 
   // Layer 2 — the lean property-specific list
   const { data: nl } = await svc
-    .schema("bb")
+    .schema("av")
     .from("newsletter_subscribers")
     .select("id")
     .ilike("email", email)

src/app/home-page/components/NewsletterSignup.tsx

@@ -2,17 +2,18 @@
 import React, { useState, useId } from "react";
 
 const categories = [
-  "Broadcast",
-  "Post Production",
-  "Animation",
-  "AI & Automation",
-  "Live Production",
-  "NAB Show",
+  "Conference Rooms & UC",
+  "Digital Signage",
+  "Live Events & Staging",
+  "Displays & LED",
+  "Audio",
+  "AV over IP",
+  "InfoComm & ISE",
 ];
 
 export default function NewsletterSignup() {
   const [email, setEmail] = useState("");
-  const [selected, setSelected] = useState<string[]>(["Broadcast"]);
+  const [selected, setSelected] = useState<string[]>(["Conference Rooms & UC"]);
   const [submitted, setSubmitted] = useState(false);
   const [error, setError] = useState("");
   const [loading, setLoading] = useState(false);

src/lib/supabase/client.tsx

@@ -5,7 +5,7 @@ export function createClient() {
     process.env.NEXT_PUBLIC_SUPABASE_URL!,
     process.env.NEXT_PUBLIC_SUPABASE_ANON_KEY!,
     {
-      db: { schema: process.env.NEXT_PUBLIC_SUPABASE_SCHEMA || 'bb' },
+      db: { schema: process.env.NEXT_PUBLIC_SUPABASE_SCHEMA || 'av' },
       cookies: {
         getAll() {
           if (typeof document === 'undefined') return [];

src/lib/supabase/server.tsx

@@ -8,7 +8,7 @@ export async function createClient() {
     process.env.NEXT_PUBLIC_SUPABASE_URL!,
     process.env.NEXT_PUBLIC_SUPABASE_ANON_KEY!,
     {
-      db: { schema: process.env.NEXT_PUBLIC_SUPABASE_SCHEMA || 'bb' },
+      db: { schema: process.env.NEXT_PUBLIC_SUPABASE_SCHEMA || 'av' },
       cookies: {
         getAll() {
           return cookieStore.getAll();