Slider end piece covering weather strip broken

Greetings. We have a slider window on which (from use) the small piece on edge covering the weather stripping cracked and has separated half way down the height of window. This piece no doubt helps keep air tightness. But is also seems to be integrated into the channel that creates edge and wraps to also contain the interior ridge that serves as a pull to open window. On inspection, it seems to be fitted into other pieces (apoxy seam visible). Is there a reliable way to glue it to stay or is there a replacement piece? Replacement seems like a more callenging repair, but the frequent use also makes me doubt a glue or putty will hold. Would greatly appreciate your thoughts. Thanks.