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You need to becareful as the CPU may hold back the new GPU, as the CPU is not fast enough to cope.Wasn't expecting you to say that as you jumped quite a few generations. I use my PC gaming and I'm considering an upgrade to am5 when it releases. Might have to look at perhaps getting a GPU upgrade instead as my 6700k ain't a big jump compared to yours and you say it ain't worth it.
Gaming at 4K you will probably get away with it, however, any lower resolutions you may find that the the GPU is not 100% utilised.
So yeah, it’s a balancing act.