Can an App Clip share an image to Apple Notes through the share sheet?

My App Clip shows an image, and I need that image to end up in Apple Notes as a new note with as few taps as possible. The plan is to present UIActivityViewController with the image, then the user taps Notes, then Save.

I know clips can’t use PhotoKit, so “Save Image” is likely out. What I can’t find documented is whether Notes, or any other app’s share extension, still shows up in a clip’s share sheet and actually saves.

Has anyone tried this? I don’t have a paid account yet to test it myself. If someone could run a one-file test clip, I can send the code.