We had the same issue. This is the CSS we added to style the moon gray (assuming default color scheme):
/* Less distracting do-not-disturb */
.do-not-disturb-background .d-icon.d-icon-moon {
color: var(--primary-high-or-secondary-low) !important;
}
.do-not-disturb-background {
background-color: var(--primary-med-or-secondary-high) !important;
}