While we're on the topic of Logitech peripherals, I recently purchased a Logitech M720 Triathlon so that I could have one mouse to switch between my Mac mini & my work PC. Unfortunately, I've had to let it go. The lag is unbearable, and thats both with and without the Unifying receiver.
It's slightly better without the Options software installed, but even then it lags a lot more than my Magic Mouse and Magic Trackpad 2 (on Bluetooth with Big Sur 11.2).
There definitely seems to be an issue with Logitech peripherals on Mac (it's worth noting the mouse was fine on Windows). As with anything though your mileage may vary.
I now have a Magic Keyboard that I use with the Mac via bluetooth, and plug it in directly to my windows laptop when I want to use it for work. Should I wish to switch between the two computers I just plug/unplug it. The Mac picks it up as soon as it's unplugged. I use the trackpad for the Mac and for the PC I have a cheap Tecknet mouse:
http://www.tecknet.co.uk/m002-grey.html
It's so basic, and it's not true bluetooth as it has a tiny little receiver - not sure if you'd class that a 'dongle' as such but it does take up a USB port (& if you're on a MacBook I imagine that's even more inconvenient).
To be more on topic, just based on my personal experience I'd steer clear of Logitech for the moment - though that's your choice because there's a lot of happy Logitech users out there, I'm just not one of them unfortunately, and I know you have also had issues with Logitech.
I've heard good things about this one:
Select with the Corsair Harpoon RGB wireless gaming mouse the way you want to play Optionally connect your PC via the hyper-fast Sub-1 MS Sub-1 MS Supstream Corsair wireless technology, via Bluetooth or via USB cable. Whether you're playing with a desktop PC, laptop, or other device, the comforta...
www.amazon.co.uk
It's a gaming mouse granted, but it'll surely be good for productivity too. It's fully bluetooth too.