feat(v5): add Inertia app shell with Flux health

Adds v5 routing, middleware, home page rendering, team context sharing,
project model/table support, and Flux health reporting. Installs Flux in
container builds with role-aware s6 services and documents runtime roles.

database/migrations/2026_06_04_050157_create_v5_projects_table.php

@@ -0,0 +1,33 @@
+<?php
+
+use Illuminate\Database\Migrations\Migration;
+use Illuminate\Database\Schema\Blueprint;
+use Illuminate\Support\Facades\Schema;
+
+return new class extends Migration
+{
+    /**
+     * Run the migrations.
+     */
+    public function up(): void
+    {
+        Schema::create('v5_projects', function (Blueprint $table) {
+            $table->id();
+            $table->foreignId('team_id')->constrained('teams')->cascadeOnDelete();
+            $table->foreignId('created_by_user_id')->constrained('users')->cascadeOnDelete();
+            $table->string('name');
+            $table->text('description')->nullable();
+            $table->timestamps();
+
+            $table->index(['team_id', 'name']);
+        });
+    }
+
+    /**
+     * Reverse the migrations.
+     */
+    public function down(): void
+    {
+        Schema::dropIfExists('v5_projects');
+    }
+};

database/schema/testing-schema.sql

@@ -1321,6 +1321,16 @@ CREATE TABLE IF NOT EXISTS "users" (
     "email_change_code_expires_at" TEXT
 );
 
+CREATE TABLE IF NOT EXISTS "v5_projects" (
+    "id" INTEGER PRIMARY KEY AUTOINCREMENT NOT NULL,
+    "team_id" INTEGER NOT NULL,
+    "created_by_user_id" INTEGER NOT NULL,
+    "name" TEXT NOT NULL,
+    "description" TEXT,
+    "created_at" TEXT,
+    "updated_at" TEXT
+);
+
 CREATE TABLE IF NOT EXISTS "webhook_notification_settings" (
     "id" INTEGER PRIMARY KEY AUTOINCREMENT NOT NULL,
     "team_id" INTEGER NOT NULL,
@@ -1752,3 +1762,4 @@ INSERT INTO "migrations" ("id", "migration", "batch") VALUES (311, '2025_12_10_1
 INSERT INTO "migrations" ("id", "migration", "batch") VALUES (312, '2025_12_15_143052_trim_s3_storage_credentials', 312);
 INSERT INTO "migrations" ("id", "migration", "batch") VALUES (313, '2025_12_17_000001_add_is_wire_navigate_enabled_to_instance_settings_table', 313);
 INSERT INTO "migrations" ("id", "migration", "batch") VALUES (314, '2025_12_17_000002_add_restart_tracking_to_standalone_databases', 314);
+INSERT INTO "migrations" ("id", "migration", "batch") VALUES (315, '2026_06_04_050157_create_v5_projects_table', 315);