The usual stumbling block is not the lack of wireless to headphones but for those that want the speakers on and the headphones AND they want independent volume controls. At least you didn't ask for that.
I google'd AMAZON WIRELESS HEADPHONES FOR HDTV and there are many today.
● TV (no bluetooth support) with 3.5mm audio output
● Headphones (can be wired or wireless)
Question is, how to connect the TV and Headphones without one long audio cable connecting the two devices.

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