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For laptop cpu's, don't compare the cpu speed on some random benchmark site. Laptop CPU's are always limited by cooling and vrm, two values Intel/AMD have no control over. Try asking your local computer store which is best for your needs.
And about that H vs G7, that H means Intel positioned it for laptops with better cooling and vrm, so it should indeed ...
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I found 2 laptops that meet or almost meet your requirements:
The MSI Gaming GF65 10UE-405NL has a 10th gen Intel core i5 and an RTX 3060. It has 16GB of RAM, expandable till 64GB, has a 512GB SSD and is probably going to handle 2.5-5 hours of work without charging.
The Lenovo IdeaPad 5 Pro 16ACH6 on the other hand, does feature a newer CPU (Ryzen 5 5600H), ...
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