GNU/Linux Mint 22 TP-Link Archer T3U Plus AC1300 Driver Setup – Step-by-step Guide
How to Install TP-Link Archer T3U Plus AC1300 USB Adapter Wireless Driver on GNU/Linux Mint 22.x Wilma/Xia desktop.
And the TP-Link Archer T3U Plus AC1300 Dongle make use of the Realtek rtl8822BU Chipset.
Especially relevant, in case to check your Adapter Chipset see: How to Check Wireless Device ID on GNU/Linux.

Installing Realtek rtl8822BU Driver on Mint