update

src/sass/_variables.scss

@@ -60,11 +60,11 @@ $shadow-z1:
   0 1px 2px -1px rgba(black, 0.24),
   0 1px 2px -1px rgba(black, 0.17);
 $shadow-z2:
-  0 3px 2px -3px rgba(black, 0.2),
+  0 4px 3px -3px rgba(black, 0.2),
   0 2px 2px -1px rgba(black, 0.24),
   0 1px 3px 0 rgba(black, 0.12);
 $shadow-z3:
-  0 3px 2px -2px rgba(black, 0.05),
+  0 3px 3px -2px rgba(black, 0.05),
   0 2px 3px -1px rgba(black, 0.06),
   0 1px 4px 0 rgba(black, 0.05);
 $shadow-z4:

src/sass/gtk/_common-4.0.scss

@@ -4608,7 +4608,7 @@ tooltip {
     // see https://bugzilla.gnome.org/show_bug.cgi?id=736155 for details.
     background-color: $tooltip;
     color: on($tooltip);
-    box-shadow: $shadow-z3;
+    box-shadow: $shadow-z5;
     border-radius: $corner-radius;
     margin: 2px 6px 8px 6px;
   }

src/sass/gtk/apps/_gnome-4.0.scss

@@ -604,6 +604,15 @@ screenshot-carousel button,
   padding: $space-size / 2 $space-size * 1.5;
 }
 
+flowboxchild {
+  &.card {
+    border: none;
+    box-shadow: none;
+    padding: 0;
+    background: none;
+  }
+}
+
 button.card.category-tile {
   padding: $space-size * 3.5;
   border: none;
@@ -611,12 +620,14 @@ button.card.category-tile {
   min-width: 140px;
   font-weight: 900;
   font-size: larger;
+  box-shadow: $shadow-z3;
 
   &.category-tile-iconless {
     padding: $space-size * 1.5 $space-size * 2.5;
     min-width: 130px;
     font-size: 105%;
     font-weight: normal;
+    box-shadow: none;
   }
 
   // Styling for specific category buttons.
@@ -725,7 +736,6 @@ clamp.large .category-tile:not(.category-tile-iconless) {
 
 // The rest of the featured-tile CSS is loaded at runtime in gs-feature-tile.c
 .featured-tile {
-  all: unset;
   padding: 0;
   box-shadow: none;
   color: $text;