woocommerce/plugins/woocommerce-admin/client/inbox-panel/index.scss

#activity-panel-inbox {
	margin: 0 $gap-large;
}
.woocommerce-layout__inbox-panel-header {
	padding: $gap-large;

	.woocommerce-homepage-column & {
		padding: 0 24px;
	}
}

.woocommerce-inbox-message-enter {
	opacity: 0;
	max-height: 0;
	transform: translateX(50%);
}

.woocommerce-inbox-message-enter-active {
	opacity: 1;
	max-height: 100vh;
	transform: translateX(0%);
	transition: opacity 500ms, transform 500ms, max-height 500ms;
}

.woocommerce-inbox-message-exit {
	opacity: 1;
	max-height: 100vh;
	transform: translateX(0%);
}

.woocommerce-inbox-message-exit-active {
	opacity: 0;
	max-height: 0;
	transform: translateX(50%);
	transition: opacity 500ms, transform 500ms, max-height 500ms;
}

.wooocommerce-inbox-card__header {
	.woocommerce-badge {
		margin-left: 16px;
	}
}