diff --git a/scripts/build-icons.sh b/scripts/build-icons.sh
index d2c1791e6..7c64d22a3 100644
--- a/scripts/build-icons.sh
+++ b/scripts/build-icons.sh
@@ -10,8 +10,15 @@
 #   resources/icon.icns                macOS bundle icon, built via iconutil
 #   site/public/icon.png         512   site favicon + PWA icon
 #   site/public/apple-touch-icon.png 180
+#   src/web-client/public/icon.png              1024  web client favicon + manifest "any"
+#   src/web-client/public/icon-maskable.png     1024  manifest "maskable"
+#   src/web-client/public/apple-touch-icon.png  1024  iOS Home Screen
 #
-# Requires rsvg-convert (brew install librsvg) and iconutil (macOS built-in).
+# The last two are full-bleed: iOS and Android both apply their own mask, so
+# they get a square filled edge to edge instead of the padded rounded rect.
+#
+# Requires rsvg-convert (brew install librsvg), magick (brew install imagemagick)
+# and iconutil (macOS built-in).
 # This script does NOT touch electron-builder config — it only rewrites the
 # files that config already points at.
 set -euo pipefail
@@ -19,11 +26,19 @@ set -euo pipefail
 cd "$(dirname "$0")/.."
 SRC=resources/icon.svg
 
-for bin in rsvg-convert iconutil; do
+for bin in rsvg-convert iconutil magick; do
   command -v "$bin" >/dev/null || { echo "missing $bin" >&2; exit 1; }
 done
 
+# Flattening onto the same colour the rounded rect is filled with is what makes
+# the corners disappear, so read it from the artwork rather than restating it.
+BG=$(sed -n 's/.*<rect[^>]*fill="\([^"]*\)".*/\1/p' "$SRC" | head -1)
+
 png() { rsvg-convert -w "$2" -h "$2" "$SRC" -o "$1"; echo "  $1  ${2}x${2}"; }
+png_fullbleed() {
+  rsvg-convert -w "$2" -h "$2" "$SRC" | magick - -background "$BG" -flatten "$1"
+  echo "  $1  ${2}x${2}  full-bleed"
+}
 
 echo "app icons"
 png resources/icon.png 1024
@@ -44,4 +59,9 @@ echo "site icons"
 png site/public/icon.png 512
 png site/public/apple-touch-icon.png 180
 
+echo "web client icons"
+png src/web-client/public/icon.png 1024
+png_fullbleed src/web-client/public/icon-maskable.png 1024
+png_fullbleed src/web-client/public/apple-touch-icon.png 1024
+
 echo "done"
diff --git a/src/web-client/public/apple-touch-icon.png b/src/web-client/public/apple-touch-icon.png
index e07f35d7a..d5c5fa803 100644
Binary files a/src/web-client/public/apple-touch-icon.png and b/src/web-client/public/apple-touch-icon.png differ
diff --git a/src/web-client/public/icon-maskable.png b/src/web-client/public/icon-maskable.png
index 1024a70e6..d5c5fa803 100644
Binary files a/src/web-client/public/icon-maskable.png and b/src/web-client/public/icon-maskable.png differ
diff --git a/src/web-client/public/icon.png b/src/web-client/public/icon.png
index 711545446..9d5b1f8cb 100644
Binary files a/src/web-client/public/icon.png and b/src/web-client/public/icon.png differ