Bluetooth Mouse w/dongle

Hey all. I have a dock for my steam deck (made by Sobrent.) I ordered a Bluetooth mouse, but it's Bluetooth via the dongle only, which is a USB-A. My dock has two slots for USB-A, would I be able to use the mouse (RedDragon M814RBG-PRO) with my dock? Will the Bluetooth connect and function as a mouse, or should I cancel my order and get a different mouse?? Only got this one since it's withiny budget, but I can save up for a better one if needed. Everyone I've seen online just connects it straight to the steam deck, but, y'know, this one has a dongle.