To add to Tim’s tradeoff analysis above:
A Heavier rifle is generally easier to shoot well.
And …
Recoil depends in the ratio of bullet weight to rifle weight (and powder charge of course).
So, you will not be able to get moderate recoil from a light rifle and a heavy bullet.
The idea of selecting an approximate bullet weight first is a good one. Unless you want a heavy rifle > 4kg all up, you will probably want to limit your bullet weight to about 140-150gr if shooting unsuppressed.
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