feat(docker): multi-stage Dockerfiles with npmmirror registry

Rewrites dashboard and finder Dockerfiles to use a clean multi-stage
build (deps → builder → runner) that installs npm packages inside
Alpine Linux, avoiding the SWC musl binary issue when building from
Windows host. Uses registry.npmmirror.com for reliable installs from
restricted networks (Iran).

- docker/api/Dockerfile: .NET 10 multi-stage build
- docker/web/Dockerfile: Node 20-alpine multi-stage, npmmirror
- docker/finder/Dockerfile: Node 20-alpine multi-stage, npmmirror
- docker/website/Dockerfile: marketing website build
- scripts/: PowerShell helper scripts for local dev

Co-Authored-By: Claude Sonnet 4.5 <noreply@anthropic.com>

scripts/check-ports.ps1

@@ -0,0 +1,50 @@
+# Checks host ports from .env (or defaults) before docker compose up.
+param(
+    [string]$EnvFile = ".env"
+)
+
+$root = Split-Path -Parent $PSScriptRoot
+Set-Location $root
+
+$defaults = @{
+    WEB_PORT     = 3101
+    API_PORT     = 5080
+    POSTGRES_PORT = 5434
+    REDIS_PORT   = 6381
+}
+
+$ports = @{}
+foreach ($key in $defaults.Keys) { $ports[$key] = $defaults[$key] }
+
+if (Test-Path $EnvFile) {
+    Get-Content $EnvFile | ForEach-Object {
+        if ($_ -match '^\s*([A-Z_]+)\s*=\s*(\d+)\s*$') {
+            $ports[$Matches[1]] = [int]$Matches[2]
+        }
+    }
+}
+
+Write-Host "Meezi port check (from $EnvFile or defaults):" -ForegroundColor Cyan
+$blocked = @()
+
+foreach ($name in @("WEB_PORT", "API_PORT", "POSTGRES_PORT", "REDIS_PORT")) {
+    $port = $ports[$name]
+    $listener = Get-NetTCPConnection -LocalPort $port -State Listen -ErrorAction SilentlyContinue | Select-Object -First 1
+    if ($listener) {
+        Write-Host "  [IN USE]  $name = $port" -ForegroundColor Red
+        $blocked += $port
+    }
+    else {
+        Write-Host "  [OK]      $name = $port" -ForegroundColor Green
+    }
+}
+
+if ($blocked.Count -gt 0) {
+    Write-Host ""
+    Write-Host "Some ports are busy. Edit .env (copy from .env.example) and pick free ports, then re-run." -ForegroundColor Yellow
+    exit 1
+}
+
+Write-Host ""
+Write-Host "All ports available. Run: docker compose up -d --build" -ForegroundColor Green
+exit 0