The answer to your seemingly reason question is probably "no", for a sneaky reason.
The bullets in your ammo seems to either be Barnes or another very similar monolithic all copper bullet.
For both accuracy and consistency these bullets need to have the barrel "guilded" by firing the exact same bullet for the first few shots before fiinal sighting in. Having the coating in the barrel match the all copper bullet being fired can be critcal.
Barnes recomends not over cleaning a barrel for this exact reason.
Years ago I sold a tack driver model 70 in 270 to a young hunter I knew quite well. We had hunted togther a few times and I thought well of him. When I sold him the rifle I gave him specific instructions to follow Barnes, and not over clean it. he cleaned it down to bare metal and it shot poorly.
Then as the light barrel heated up it shot even worse.
Then he began mixing copper jacketed lead core rounds, then firing the monlithic copper bullets and the groups really went crazy.
I met him at the range, we cleaned everything out. Fired two Barnes bullets, Let it cool and fired three for a sighting group. They were way under and inch at 100 yards.
The lesson is, do not mix bullets as the guilding can be critical with mono copper bullets. It can take you down a road that can drive you nuts and waste lots of ammo,,,and this maddness can be rifle dependent.
With my Sako Finnlight with a genuine high quality match grade barrel, it shoots so well with less concern about guiding and just never fouls either. Same with my Beligium made Browning Safari grade 30-06.
With lesser quality riflles it can become a wlld ride. And Tikka's by the way are not anywhere near the quality of a Sako. They can group well, but seem to foul easier, get less velocity for the same powder as a tighter Sako and are more sensitive to guilding.
I usdersrand what you want to do, but doing that from my experience would require cleaning the barrel after shooting lead core, then firing two of your copper bullets, letting it cool then firing for your final group