Beginner Soundbar Question

[gapilot]

I recently purchased a TCL 646 TV with 4 HDMI inputs; 2 4K @ 120Hz (1 eArc) and 2 4K @ 60Hz. An Xbox Series X is connected via the second 4K @ 120Hz HDMI input and a Roku Ultra is connected via one of the 4K @ 60Hz inputs. If I were to add a Soundbar via the eArc HDMI, will the audio from the Xbox and Roku play through the Soundbar as it is set up as described above?