Ok, just to let anyone know who ever has a question about the idler pulley for this mower model
Murray 40702x92F , this is the correct identical pulley.
Briggs and Stratton 91179MA Idler Pulley, Back Side
https://www.amazon.com/dp/B019WEUBSK?psc=1&ref=ppx_yo2ov_dt_b_product_details
Maybe it...