Thank you for visiting the HP Forums! A great place where you can find solutions for your issues with help from the community! I came across your post and wanted to assist you. I understand you want to know if the HP Active Stylus Compatible with HP Pavilion 14-ba100 x360 Convertible PC, Don't worry I'll be really glad to help you with this.
After reading your post, I did go through the Maintenance and Service guide and found that your PC support Active Pen, For more details, please use this link.
This is the Part Number - 910942-001 HP synaptics active pen which is suppose to work on your PC.