HP's newly-released 635 Multi-Device Wireless Mouse can connect with up to three devices via the included dongle and two devices via Bluetooth. It is powered by two AAA batteries that can last up to a year with moderate usage. The mouse will be available for purchase in February 2021 for US$ 59.99.
https://www.notebookcheck.net/HP-635-Multi-Device-Wireless-mouse-launched-for-US-59-99.514217.0.html