test+fix: close #14, V2 #57 live install entry, #41 float slice

- #14: first scheduled lock bump confirmed (8fded63 nomarchy-bump Mon
  05:20 UTC 2026-07-06); remove queue item.
- #57 V2: checks.live-install-entry builds nomarchy-live HM gen and
  asserts Install Nomarchy.desktop + installer bin + menu gate.
- #41: float/center hyprpolkitagent + pinentry-qt from package app-ids;
  capture-float-classes.nix harness (softGL empty); residual portal
  class stays NEXT [blocked:hw]. HARDWARE-QUEUE confirm steps.

Verified: live-install-entry + windowrule-syntax green.

flake.nix

@@ -352,6 +352,40 @@
           # sheet to ✖/exit-1 and names the unit; with the failure
           # cleared it reports healthy/exit-0. Minimal node (just the
           # package) — the disk/flake/snapper checks self-skip in a VM.
+          # Live-ISO install affordance (BACKLOG #57): desktop entry baked
+          # into the live host's HM generation + installer on PATH + Tools
+          # menu gate in nomarchy-menu. Builds the real nomarchy-live HM
+          # package (not a full ISO) — V2 file-level smoke of the same
+          # artifacts the ISO ships.
+          live-install-entry =
+            let
+              liveHm =
+                self.nixosConfigurations.nomarchy-live.config.home-manager.users.${username};
+              gen = liveHm.home.activationPackage;
+            in
+            pkgs.runCommand "nomarchy-live-install-entry"
+              {
+                nativeBuildInputs = [ pkgs.gnugrep pkgs.findutils ];
+                passAsFile = [ ];
+              }
+              ''
+                set -euo pipefail
+                desk=$(find ${gen}/home-path/share/applications \
+                  -name nomarchy-install.desktop | head -1)
+                test -n "$desk"
+                grep -q '^Name=Install Nomarchy$' "$desk"
+                grep -q '^Terminal=true$' "$desk"
+                grep -q '^Exec=nomarchy-install$' "$desk"
+                test -x ${nomarchyInstall}/bin/nomarchy-install
+                # Tools › Install Nomarchy self-gate lives in nomarchy-menu
+                # (rofi.nix), which is on the live HM path.
+                menu=$(find ${gen}/home-path/bin -name nomarchy-menu | head -1)
+                test -n "$menu"
+                grep -q 'Install Nomarchy' "$menu"
+                echo "live-install-entry: ok desk=$desk menu=$menu"
+                touch $out
+              '';
+
           doctor = pkgs.testers.runNixOSTest {
             name = "nomarchy-doctor";
             nodes.machine = { ... }: {