Unless it crashes right from the start, you might be able to solve your problem without buying a new laptop… Could you share the specs of the one you have?
The most important specs are the CPU, the RAM and the GPU (if you have one beside the CPU).
Anyway, I’ve been playing with this:
– Intel i5-6500 (a quad-core CPU from 2015);
– 16 GiB of RAM;
– NVIDIA GeForce GTX 1060 mobile with 6 GiB of VRAM
… and it’s more than enough.
Anything better than that is overkill for AoE2 (unless you want to play in 4K), and something below that may still be enough, but I can’t tell for sure.
Now… that alone might not be very helpful for you if you can’t tell if one laptop is better than another one.
If that’s the case, I recommend you give a very rough idea of how much money you’d spend on that laptop, and if playing AoE 2 is going to be the only / main usage for it.