In your situation, I'd probably connect the Bluetooth module to the regulator's output ground and not to the USB ground, and I'd test if the thing worked without soldering to the extra ground connectors before bothering with them. It should only take a few seconds to find out, but longer if you were to solder them up for no reason.
OS: Windows 10 64 bit Professional
CPU: AMD Ryzen 5900X
RAM: 48GB
GPU: Radeon 7800 XT
CPU: AMD Ryzen 5900X
RAM: 48GB
GPU: Radeon 7800 XT