Purple Dottyback question

Hello everyone.



Today I added a Bangai Cardinal and Purple Dottyback to my 55 gallon aquarium. Along with those, I have a pair of clowns, a fire shrimp, camel shrimp, torch coral, and other invertebrates.



I am wondering if all of my fish and coral will be fine and safe with the Purple Dottyback. I began ready about how aggressive they can be.



Thanks in advance for the input!