Seems like you are in luck, replacing the wireless card is actually relatively easy and cheap. Here's a guide for replacing the HDD/SSD with an overhead camera, you can see the wireless card is there with the white/black wires connected:
Your laptop requires a half height mini PCIe card. This is probably the best you can get with that form factor:
Intel ARK: https://ark.intel.com/products/75439/Intel-Dual-Band-Wireless-AC-7260
Amazon Link ($30): https://www.amazon.com/Dual-Band-Wirless-Bluetooth-PCI/dp/B01E85QIFI
I run linux on pretty much all my hardware, and I've been through a few laptops. You get used to replacing Broadcom/Atheros chips with better supported Intel chips whenever possible.
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