.223 for bear, mountain goat, deer, elk, and moose.

I didn't read through all 677 pages of material here so forgive me for searching for a quick answer. My son has a Ruger American Gen2 .223 with a 1 in 8 twist. I have been doing some load work-up for it using varget and 77gr TMK's. Question for this group, what velocity should I expect this to get to with a 20" barrel once I work up to a near-max safe load? I'm limited to 2.260" OAL seating depth.

Also, varget is just what I have on hand. Has there been a different powder that has had consistent results for most people that are using the 77's?
My boy has the same rifle and with 24 gr of Tac at 2.260” with a fed 205 primer in LC brass, he’s getting 2,744.6 fps. It shoots great for him.
 
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