Bluetooth range challenge to Switchbot - repeater? Any other options?

Total newbie here: I’m thinking about Switchbot + Home Assistant:

In order to use this integration, it is required to have working Bluetooth set up on the device running Home Assistant.

The place I’d likely install HA is probably out of Bluetooth range. What are my options?

Is there any kind of repeater I could buy?

Or anything I could put on a some kind of raspberry pi to achieve the same thing?

I was amazed that my BT aerial gets from one side of my house to the other (through an external wall).

https://www.amazon.co.uk/dp/B09MZ8715D/?coliid=I1NCNVG2WM6JOR&colid=1R06LBUPXHJV6&psc=1&ref_=list_c_wl_lv_ov_lig_dp_it

You could consider using a few cheap Bluetooth proxies, we have a handful of the M5 stacks scattered around the house and garage to achieve complete property coverage.

I use the ESPHome BT proxy, but I just add that feature to other ESP32 devices that I’m using for other purposes. A nice option for a device is the Switchbot plug mini, which can be flashed with ESPHome. The code on that page already has the Bluetooth proxy enabled.

Note that the BT proxy isn’t a repeater; it will receive BT packets and send them to HA over IP.