[link|https://h30434.www3.hp.com/t5/Notebook-Hardware-and-Upgrade-Questions/Laptop-battery-replacement/td-p/7662260|As of HP forum|new_window=true] and [link|https://web.archive.org/web/20220831142320/http://h10032.www1.hp.com/ctg/Manual/c06606758.pdf|HP ENVY x360 15 Convertible PC Maintenance and Service Guide|new_window=true] (archived on Wayback Machine), the Part Number seem to be L09281-855, so no, the LK03XL will ***not*** fit. It may be available in your country on [link|https://partsurfer.hp.com/partsurfer?searchtext=L09281-855|HP PartSurfer|new_window=true], otherwise search for third party vendors on Amazon/Ebay/etc and in battery stores in your country
Replacement instructions [guide|154533|here on iFixit|new_window=true] or in the service guide above.