The make /model of the computer shouldn’t make any difference.
It’s important that the laptop is above the minimum specs for the operating system that you use. For Windows, you would need at least a dual processor, 64-bit, 8GB ram, 128 GB storage.
Audacity projects can get rather big, so plenty of storage space is recommended. Some laptops have two storage drives, a SSD for the system, and a much larger spinning disk hdd for storing data - this is a very useful (recommended) configuration when working with large media files.
I would highly recommend using a solid state drive (SSD) for the system drive - booting modern Windows from a spinning disk (hdd) drive is painfully slow.
Atom and Celeron processors tend to be a bit slow with modern Windows. Any Intel i3, i5, i7 or equivalent AMD processor should be fine.
If you are on a limited budget, it may be worth considering Linux rather than Windows. Some vendors will supply laptops without an operating system for less than the same model with Windows installed, but more importantly, there are lightweight versions of Linux available (free) that can run well on lower spec computers than Windows.