Not in the rotary, no. Well, i mean, they will, but you won't be able to take full advantage.
If you really want to get the best out of them, you'll want to swap out the bottom metal ($36 from Ruger) to accept AICS mags, then use an MDT magazine that'll let you load up to 2.55"
However..... they are notorious for having a short throat.
Now, mostly, that's not a problem. But being the tinker-fiend & performance junkie that i am, i actually had the chamber recut so i could load the 77s right out to 2.5"
Also, the 62gn TSX might surprise you. It's really not great in a .223. Yes, you get deep wounding, but there are a TON of reports of very slow kills, long tracking jobs & poor blood trails. The 77gn TMKs or 62gn Fusions are a much better bang-flop proposition.