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An older 360 wireless controller will still need this adapter I think - https://www.amazon.co.uk/Official-Wireless-Gaming-Receiver-Windows/dp/B000MGVAAQ (edit: the official one doesn't look to be made anymore but plenty third party ones around or maybe second hand on ebay or something)
If you have to buy the 360 controller and the adapter it might work out to be the same price as a newer one?
Think the new ones should work ok with the bluetooth provided the PC can connect?
I’ve got an Xbox 360 wired controller you can have if you want?