Resolve the audio output sink through EasyEffects 8

omarchy-audio-output-sink follows a DSP sink to the physical sink through the
DSP's playback stream. EasyEffects 8 has no such stream: its output node links
its ports straight to the sink's playback ports, so the search found nothing
and the volume keys, the bar's audio panel and the output switcher all acted on
easyeffects_sink itself. That sink's volume is inert -- its monitor, which
EasyEffects reads, does not follow it -- so the OSD moved while the speakers
did not.

Follow the port links to the alsa_output sink instead, and when EasyEffects is
idle and has dropped them, use the output device its settings name, if that
sink exists. Filter-chain tunings keep resolving through their stream as before.

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>

bin/omarchy-audio-output-sink

@@ -50,6 +50,38 @@ if [[ -n $downstream ]]; then
   fi
 fi
 
+# EasyEffects 8 does not play into the physical sink through a stream of its
+# own: its output node links its ports straight to the sink's playback ports,
+# so the sink-input search above finds nothing and the keys would move the
+# EasyEffects sink -- whose volume its monitor, the input of the processing,
+# does not follow. Follow the port links instead: the first alsa_output sink
+# any EasyEffects output port is linked to.
+if [[ $sink == "easyeffects_sink" ]]; then
+  linked="$(pw-link -l 2>/dev/null |
+    awk '
+      /^[^ ]/ {src = $0}
+      /^[[:space:]]*\|->/ {
+        if (src ~ /^ee_/ && $2 ~ /^alsa_output\..*:playback_/) {
+          sub(/:playback_.*$/, "", $2); print $2; exit
+        }
+      }')"
+
+  # Idle, EasyEffects drops those links: fall back to the output device it is
+  # configured to feed, when that sink exists.
+  if [[ -z $linked ]]; then
+    configured="$(sed -n 's/^outputDevice=//p' \
+      "${XDG_CONFIG_HOME:-$HOME/.config}/easyeffects/db/easyeffectsrc" 2>/dev/null)"
+    if [[ -n $configured ]] && pactl list sinks short 2>/dev/null | awk '{print $2}' | grep -qx "$configured"; then
+      linked="$configured"
+    fi
+  fi
+
+  if [[ -n $linked ]]; then
+    printf '%s\n' "$linked"
+    exit 0
+  fi
+fi
+
 # Nothing resolvable downstream -- the DSP sink may simply be idle and unlinked.
 # Fall back to the sink itself so callers still have something to act on.
 printf '%s\n' "$sink"