Well yeah it will increase if your new GPU has more DRAM of its own. btw I wanna ask. What is the make of your laptop? Is the GPU even replaceable? You know that some laptops...Or most of them have their iGPU or even the dedicated GPU soldered onto the board. You can unsolder it though, But a massive chance of failing. You know that you need a specific graphics card to replace your old one. You should consider the TDP of the GPU too, Going with a TDP that is higher than the default card could cause the system to not boot due to heat issues or power issues. Other things that you need to consider is if your other components are compatible with your card. many things could go wrong buddy...

Just get more RAM or get a new laptop... too risky for me
😉