Make the player sheet list use the inferred minimum and actually update the embedded document

module/data/Item/attribute.mjs

@@ -101,5 +101,11 @@ export class AttributeItemData extends foundry.abstract.TypeDataModel {
 	get isRange() {
 		return this.max !== null;
 	};
+
+	get inferredMinimum() {
+		if (this.isRange) {
+			return this.min ?? 0;
+		};
+	};
 	// #endregion Methods
 };

templates/PlayerSheet/tabs/attributes/attribute.hbs

@@ -8,9 +8,10 @@
 	<input
 		type="number"
 		id="{{uuid}}-value"
+		data-foreign-uuid="{{uuid}}"
 		data-foreign-name="system.value"
 		value="{{ system.value }}"
-		min="{{ system.min }}"
+		min="{{ system.inferredMinimum }}"
 		max="{{ system.max }}"
 	>
 </li>