Hopefully I heard this right but I believe there is an actual app coming (like the COVID tracer app), which should be easier than the current method. I heard them mention it during a press conf a while back.
For now, it's best to use the Google Pay or Apple Pay links in the email you receive after requesting the vaccine pass, this automatically adds it to your phone as a shortcut on your home screen (at least for Android).
For now, it's best to use the Google Pay or Apple Pay links in the email you receive after requesting the vaccine pass, this automatically adds it to your phone as a shortcut on your home screen (at least for Android).