You need to have your compiled templates in the repo that have been compiled at the path for the specific site e.g. /nas/content/staging/${WPE_INSTALL}/wp-content/uploads/cache/xyz.php. You can’t even just take your local cache folder and upload it because Blade will look for files at a different HASH.php
WPEngine does not give you write permissions via PHP so the templates will never compile.
If you somehow managed to figure it out I’d love to know because I haven’t. I started working on a Docker container that would install wordpress in the directory, compile the templates. But I think I’d rather just drop Blade as a requirement.