TMK/TGK info needed.

Looks to me that you have enough bullet in the case as it is. I wouldn't worry about that old wives tale of needing a full bullet diameter in the case. I'd be more concerned in how they shoot and seat them accordingly. The 77 TMKs in a 22-250 are Bad *sses!
I have some of the 90s for my 240 but haven't shot them yet.
 
2.276" max. That don't leave much in the neck. View attachment 604455
The illustration below (.338 Thor) shows where the farthest out "I" wanted my bullet to be seated.
.338 Thor cut-out 300 Berger 3.7 COAL.jpg


 
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