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/api/v1/upload/avatar-presign/route.ts

@@ -29,7 +29,7 @@ export async function POST(req: NextRequest) {
 
   try {
     const sizeMb = Math.ceil(fileSize / (1024 * 1024));
-    await checkAndIncrementTierLimit(session!.user.id, session!.user.tier as "free" | "pro", "storage", sizeMb);
+    await checkAndIncrementTierLimit(session!.user.id, session!.user.tier as "free" | "pro" | "team", "storage", sizeMb);
   } catch (err) {
     if (err instanceof TierLimitError) {
       return NextResponse.json({ error: "Storage limit reached for your tier" }, { status: 403 });

apps/web/app/api/v1/upload/presign/route.ts

@@ -42,7 +42,7 @@ export async function POST(req: NextRequest) {
 
   try {
     const sizeMb = Math.ceil(fileSize / (1024 * 1024));
-    await checkAndIncrementTierLimit(session!.user.id, session!.user.tier as "free" | "pro", "storage", sizeMb);
+    await checkAndIncrementTierLimit(session!.user.id, session!.user.tier as "free" | "pro" | "team", "storage", sizeMb);
   } catch (err) {
     if (err instanceof TierLimitError) {
       return NextResponse.json({ error: "Storage limit reached for your tier" }, { status: 403 });