Report Windows installer PATH status accurately

install.ps1

@@ -458,6 +458,14 @@ function Write-Utf8NoBom($Path, $Content) {
     [System.IO.File]::WriteAllText($Path, $Content, $encoding)
 }
 
+function Write-PathStatus($PathToCheck) {
+    if (PathList-Contains $env:Path $PathToCheck) {
+        Write-Info "Current terminal PATH includes Dosh."
+    } else {
+        Write-Info "Open a new terminal if dosh is not found on PATH."
+    }
+}
+
 $bindir = Normalize-PathForCompare (Join-Path $Prefix "bin")
 $configDir = Normalize-PathForCompare (Join-Path $HOME ".config\dosh")
 New-Item -ItemType Directory -Force -Path $bindir, $configDir | Out-Null
@@ -644,4 +652,4 @@ Write-Info "Client config:"
 Write-Info "  $configDir\client.toml"
 Write-Info "  $configDir\hosts.toml"
 Write-Info ""
-Write-Info "Open a new terminal for PATH changes to apply."
+Write-PathStatus $bindir