-¥_ My Macbook Pro 13inch Mid 2012 runs Mac OS High Sierra i want to update to Catalina, will this work for me or anything newer maybe?

macOS Catalina is compatible with these computers - Apple Support

Your MacBook can upgrade to Catalina and I reccommend doing so. It will not help with the battery issues, but you will get security updates and with High Sierra you will not get them.

To update, go to Apple logo>about this mac>software update. If this is not working, download Catalina from here: How to get old versions of macOS - Apple Support (CA)

The Age of this computer will Govern what newer version of macOS it will Qualify to install. Use About this Mac from the Apple Icon on Desktop - the required Information will be there.

With the above information in-hand - follow this How to get old versions of macOS and verify what version this computer Qualifies to install.  For Best results use Safari to commence the download as Others may not work.

Safari will open a redirect and open the Apple Store where the download can commence.

macOS Catalina 10.15 hardware requirements This is the Last version of macOS this computer Qualifies to run

macOS Mojave 10.14 hardware requirements

Make Time Machine Backup  is very useful and can be used to Revert to Previous Working macOS

Notation - Mojave is the Last version to support 32 bit applications / extensions and Drivers. Catalina, Big Sur & Monterey supports only 64 bit and there is no workaround.

Suggest using Go64 to find 32 bit application before attempting the upGrade. Some or many of the Application already installed may required update or upGrades to 64 Bit Versions.