@JR2963 see https://community.st.com/t5/stm32cubeide-for-visual-studio/publishing-stm32-extension-to-open-vsx-org-for-support-for/td-p/832071
Such said you can like I may have done have a try.
Let's get all STM32Cube VSCode extensions .vsix files then install them into Cursor.
The very same can apply to collection of VSCode like solutions like VSCodium, Antigravity, Theia, ....
What is nice is STM32Cube is not pulling any VSCOde marketplace restricted extension as dependency: proceeding is so fully legal.
All dependencies are available here:

To download them:

If you are taking time to exercise keep us posted about result !