fix(docking): dock automatically; repair cards parked on pro-audio

Bernardo's retest on the AMD dev box. Two of the four reports were never
running the new code — both watchers are Hyprland `exec-once`, so a
`nomarchy-home` switch leaves the old processes alive until relogin; only
`nomarchy-dock-audio`, a user service, had picked the fix up. The journal
showed the old watcher's `event=monitoradded` next to the new audio tool's
`result=no-available-sink`, which is what gave it away. The other two were
real.

Automatic dock mode did not exist. The watcher auto-*undocked* when the last
external left, but on plug it only ever matched a display profile — and with
no profile saved and displayProfileAuto unset it did nothing at all, while
`Dock mode` was reachable only from the menu. Half the pair being automatic
is what made the dock feel broken: the session came home by itself but never
left. Mirror it, letting a matched profile win as the more specific layout.

The BenQ's audio was unreachable by any means because WirePlumber had the
GPU's DisplayPort card pinned to `pro-audio`, whose raw `pro-output-N` sinks
carry no ports, no routing and no volume — so no sink matched, nothing was
selectable, and the profile is stored per card and so survived forever. The
monitor's own USB card is input-only (every profile has sinks: 0), leaving
DisplayPort as the only path to its speakers. Repair the card when a plug
finds nothing routable, which is both the symptom and the only moment worth
touching profiles: narrow to cards carrying an *available* HDMI/DP port —
the monitor asking for audio over the cable — so the internal analog card is
never touched and a considered pro-audio setup elsewhere survives.

Verified V2: checks.docking-ux and checks.dock-audio pass with guards for
both; the repair filter picks exactly the GPU card → HiFi against the dev
box's live graph, leaving the BenQ USB, internal analog and Bluetooth cards
alone. Hotplug itself still needs hardware — HARDWARE-QUEUE round 6, which
now leads with the relogin requirement that invalidated round 5.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>

flake.nix

@@ -957,6 +957,16 @@
                 # followed explicitly or plugging in stops switching output.
                 grep -q 'headphone_sinks' "$audio"
                 grep -Fq '"$0" headphones jack' "$audio"
+                # pro-audio/off publish no routable sink, and the profile is
+                # stored per card — so a monitor's audio stays unreachable
+                # however it is picked until the card itself is repaired.
+                grep -q 'repair_dock_cards' "$audio"
+                grep -q 'set-card-profile' "$audio"
+                grep -q 'repaired-card=' "$audio"
+                # Auto-undock without auto-dock leaves the pair half manual.
+                grep -q 'auto_dock' "$watcher"
+                grep -q 'auto-dock internal=' "$watcher"
+                grep -Fq '"$TRANSITION" dock' "$watcher"
                 ! grep -q 'power_save' "$audio"
                 echo "docking-ux: atomic display, lid inhibitor, and monitor-triggered audio reprobe present"
                 touch $out