feat: add Team billing tier

Widens the tier enum from free/pro to free/pro/team and every
"free" | "pro" cast that assumed exactly two tiers (~30 call sites:
every AI route's withAiQuota/checkAndIncrementTierLimit call, admin
user/invite management, upload quota checks, OpenAPI schemas). Team
sits above Pro with genuinely unlimited recipes/public-recipes (the
-1 sentinel, which Pro doesn't actually use — Pro uses large finite
numbers instead) and a higher AI-call/storage cap. Seeded via
db:seed, editable afterward from Admin > Tiers.

role (user/moderator/admin — permissions) and tier (free/pro/team —
billing limits) stay separate concepts, as they already were; this
does not touch role-based permissions.

Requires migration 0043 to run against a live DB — not applied in
this sandbox (no Docker here); run `pnpm db:migrate` then `pnpm db:seed`.

v0.44.0

apps/web/app/admin/storage/page.tsx

@@ -41,6 +41,7 @@ export default async function AdminStoragePage() {
 
   const freePhotos = Number(photosByTier.find((r) => r.tier === "free")?.photoCount ?? 0);
   const proPhotos = Number(photosByTier.find((r) => r.tier === "pro")?.photoCount ?? 0);
+  const teamPhotos = Number(photosByTier.find((r) => r.tier === "team")?.photoCount ?? 0);
 
   return (
     <div className="space-y-6">
@@ -51,7 +52,7 @@ export default async function AdminStoragePage() {
         </p>
       </div>
 
-      <div className="grid grid-cols-1 md:grid-cols-3 gap-4">
+      <div className="grid grid-cols-1 md:grid-cols-4 gap-4">
         <Card>
           <CardHeader className="flex flex-row items-center justify-between pb-2">
             <CardTitle className="text-sm font-medium text-muted-foreground">Total Photos</CardTitle>
@@ -82,6 +83,16 @@ export default async function AdminStoragePage() {
             <div className="text-2xl font-bold">{proPhotos.toLocaleString()}</div>
           </CardContent>
         </Card>
+
+        <Card>
+          <CardHeader className="flex flex-row items-center justify-between pb-2">
+            <CardTitle className="text-sm font-medium text-muted-foreground">Team Tier Photos</CardTitle>
+            <HardDrive className="h-4 w-4 text-muted-foreground" />
+          </CardHeader>
+          <CardContent>
+            <div className="text-2xl font-bold">{teamPhotos.toLocaleString()}</div>
+          </CardContent>
+        </Card>
       </div>
 
       <div>

apps/web/app/admin/users/[id]/page.tsx

@@ -25,6 +25,7 @@ const ROLE_COLORS = {
 const TIER_COLORS = {
   free: "secondary",
   pro: "default",
+  team: "default",
 } as const;
 
 export default async function AdminUserDetailPage({ params }: PageProps) {

apps/web/app/admin/users/page.tsx

@@ -24,6 +24,7 @@ const ROLE_COLORS = {
 const TIER_COLORS = {
   free: "secondary",
   pro: "default",
+  team: "default",
 } as const;
 
 export default async function AdminUsersPage({ searchParams }: PageProps) {