Mixing Anthias?

[TripleJ21]

Hi everyone. I have a 75 gallon mixed reef tank that has been set up for 5 months. I've had a barletts anthias in my tank for 2 months. Would I be able to add a lyretail anyhias into my system?

My other inhabitants:
1 yellow fin fairy wrasse
2 ocellaris clowns
1 kole tang
1 flame Hawkfish