refactor(v5): remove Project model and consolidate v5 migrations

Drop v5_projects table, Project model, and related alter-table
migrations; fold cluster_id and nullable private_key_id into the
initial v5_servers migration; rename migration files to v5_ prefix;
strip cooldServers/privateKeys/teams props from HomeController and
Home page.

database/migrations/2026_06_04_050157_create_v5_projects_table.php

@@ -1,33 +0,0 @@
-<?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/migrations/2026_06_16_130650_v5_create_servers_table.php

@@ -14,6 +14,7 @@ return new class extends Migration
         Schema::create('v5_servers', function (Blueprint $table) {
             $table->id();
             $table->foreignId('team_id')->constrained('teams')->cascadeOnDelete();
+            $table->foreignId('cluster_id')->nullable()->constrained('v5_clusters')->nullOnDelete();
             $table->foreignId('created_by_user_id')->constrained('users')->cascadeOnDelete();
             $table->foreignId('private_key_id')->nullable()->constrained('private_keys')->nullOnDelete();
             $table->string('name');
@@ -28,6 +29,7 @@ return new class extends Migration
             $table->timestamps();
 
             $table->unique(['team_id', 'host', 'ssh_port']);
+            $table->index(['team_id', 'cluster_id']);
             $table->index(['team_id', 'status']);
         });
     }

database/migrations/2026_06_16_131229_add_cluster_id_to_v5_servers_table.php

@@ -1,35 +0,0 @@
-<?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::table('v5_servers', function (Blueprint $table) {
-            $table->foreignId('cluster_id')
-                ->nullable()
-                ->after('team_id')
-                ->constrained('v5_clusters')
-                ->nullOnDelete();
-
-            $table->index(['team_id', 'cluster_id']);
-        });
-    }
-
-    /**
-     * Reverse the migrations.
-     */
-    public function down(): void
-    {
-        Schema::table('v5_servers', function (Blueprint $table) {
-            $table->dropIndex(['team_id', 'cluster_id']);
-            $table->dropConstrainedForeignId('cluster_id');
-        });
-    }
-};

database/migrations/2026_06_16_132000_make_v5_server_private_key_nullable.php

@@ -1,28 +0,0 @@
-<?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::table('v5_servers', function (Blueprint $table) {
-            $table->foreignId('private_key_id')->nullable()->change();
-        });
-    }
-
-    /**
-     * Reverse the migrations.
-     */
-    public function down(): void
-    {
-        Schema::table('v5_servers', function (Blueprint $table) {
-            $table->foreignId('private_key_id')->nullable(false)->change();
-        });
-    }
-};

database/schema/testing-schema.sql

@@ -1350,17 +1350,6 @@ CREATE TABLE IF NOT EXISTS "v5_servers" (
     "updated_at" TEXT
 );
 
-CREATE TABLE IF NOT EXISTS "v5_projects" (
-    "id" INTEGER PRIMARY KEY AUTOINCREMENT NOT NULL,
-    "team_id" INTEGER NOT NULL,
-    "cluster_id" INTEGER,
-    "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,
@@ -1792,8 +1781,5 @@ 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);
-INSERT INTO "migrations" ("id", "migration", "batch") VALUES (316, '2026_06_16_130650_create_v5_servers_table', 316);
-INSERT INTO "migrations" ("id", "migration", "batch") VALUES (317, '2026_06_16_130649_create_v5_clusters_table', 317);
-INSERT INTO "migrations" ("id", "migration", "batch") VALUES (318, '2026_06_16_131229_add_cluster_id_to_v5_servers_table', 318);
-INSERT INTO "migrations" ("id", "migration", "batch") VALUES (319, '2026_06_16_132000_make_v5_server_private_key_nullable', 319);
+INSERT INTO "migrations" ("id", "migration", "batch") VALUES (316, '2026_06_16_130650_v5_create_servers_table', 316);
+INSERT INTO "migrations" ("id", "migration", "batch") VALUES (317, '2026_06_16_130649_v5_create_clusters_table', 317);