You're right, it's very unlikely you'll find a laptop with that many USB ports, especially USB 3.1 or 3.2 Type-A. It's usually limited to 3 ports, and 1 of those is usually the older USB 2.0
I have exactly that layout on my laptop, so I got more Type-A ports by adding a small hub. The clever design clamps onto any convenient surface you may have. It has a rubber strip so it's safe to clip it to your monitor, for example. I clipped it to the end edge of my desk which places it within easy reach, and attached cables dangle out of sight. We got the silver finish version but there's also a black finish version. Check it out:
Buy ORICO Aluminum Powered USB Hub With 4 USB 3.0 Ports, Compact Space-Saving Mountable with Extra Power Supply Port and 4.92ft USB Data Cable, Ultra-Portable USB Expander for MacBook Air/Laptop/PC with fast shipping and top-rated customer service. Once you know, you Newegg!
www.newegg.com