feat: implement modular foundation and core system services

- Update flake.nix with 25.11 release and core inputs
- Add dedicated modules for audio (Pipewire), bluetooth, and networking
- Update GEMINI.md with the new Modular Merging Architecture blueprint
- Configure graphical installer ISO and test VM outputs

bin/nomarchy-pkg-present

@@ -1,9 +1,20 @@
-#!/bin/bash
+#!/usr/bin/env bash
 
-# Returns true if all of the named packages are installed on the system (or false if any of them are missing).
+PKG_NAME="$1"
 
-for pkg in "$@"; do
-  pacman -Q "$pkg" &>/dev/null || exit 1
-done
+if [ -z "$PKG_NAME" ]; then
+    echo "Usage: nomarchy-pkg-present <package-name>"
+    exit 1
+fi
 
-exit 0
+STATE_FILE="$HOME/.config/home-manager/user-packages.json"
+
+if [ ! -f "$STATE_FILE" ]; then
+    exit 1
+fi
+
+if jq -e ". | index(\"$PKG_NAME\")" "$STATE_FILE" >/dev/null; then
+    exit 0
+else
+    exit 1
+fi