Hello,
Ok, In this case, you can hide this button only for the Shop page with the help of the theme presets. Please navigate to Theme Settings -> Settings Presets -> create a preset with the condition as in the below screenshot.
https://monosnap.com/file/NSSh0leyu5hyLsyN95zQyWs7uvRHRd
After that, edit Theme Settings of this preset and go to Shop and turn on the “Catalog mode” there.
https://monosnap.com/file/WPzU1nFX8JZAtbt8iJRcZ4UBWhX0Ua
As a result, the catalog mode will be enabled only for the Shop apge.
Kind Regards