"Ah.." That compliment is for sure enough to get Inigo really flustered. But in a good way though. There aren't many compliments that could mean more to him, and that applies to both sides of that coin. The fact that he's a good dancer - he's so worried other people might judge him on that, after all! - and the fact he's taking after his mother, who is just perfect.. Inigo may not think either compliment applies to him all that much, but if Taiki can see him that way, he's already flattered enough.

It takes a moment for him to even snap himself out of it before he's able to properly speak up again.

"A-Ah, of course I don't mind." He might miss her like hell every since day, but talking about her isn't so bad. That way he can remember the best moments with her and leave out all the bad ones. "She was just incredibly kind and gentle to anyone she met. Mother really has the talent to make anyone she speaks to feel loved and welcomed.. And even though she may be a little shy at times, she always tries her best all the same."

(Does that sound like someone? Yeah, it may be clear which parent Inigo takes after..)

"She married my father despite having absolutely no noble standing, but that makes it all the more obvious that he just loved her for who she was." That's a tidbit he wouldn't tell just anyone, but considering Taiki at least knows about his princely secret, he figures it can't hurt to add it in this case. The music drowns out their conversation to everyone else around them anyway.