This Nintendo Switch adapter promises Bluetooth audio support

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UGreen Nintendo Switch 3.5mm Bluetooth Adapter

UGreen Nintendo Switch 3.5mm Bluetooth Adapter

Not sure if many people know, but you can use a usb c Bluetooth

Genki Dongle Brings Bluetooth Audio To Nintendo Switch - SlashGear

Genki Dongle Brings Bluetooth Audio To Nintendo Switch - SlashGear

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UGreen Bluetooth 5.0 Transmitter Compatible for Nintendo Switch