Great ideas and brainstorming. Thanks.
Two issues come to mind that I didn't think of at first.
a. the canvas is under tension. The wood and canvas expand and contract as humidity and environment changes, so it has a strong chance to enlarge the hole if I don't do something to keep it at the same tension of the rest of the cloth.
b. anything with a hard edge like tape or a patch, will migrate through to the other side and the edge of the patch will be visible.
When I watch the restoration videos, I see he often uses bits of thread or frays the patch so it has a soft edge. But that also looks like a lot of work. A lot more work than my current skill level warrants.
https://www.youtube.com/@BaumgartnerRestoration/videos
But, this canvas is 24" square, so it's quite big by my standards and I had hoped to paint something wall-worthy on it. So I guess I got to put some effort in to fixing this. I'll be putting extra layers of gesso on top so that will fill in the hole I guess. Maybe?
Another option would be to get some new cloth, but it's not a normal stretcher. Maybe it's a strainer although I haven't seen one of those before. The outer frame has the canvas stapled to it as per normal, then there is an inner wooden frame that's very firmly stapled in place at the corners so it wouldn't be able to stretch even if there was a place for keys.
And because I only understand about half of that last paragraph at the time of writing, I'm going to translate into what my brain understands to see if it makes sense.
Because wood and cloth change size over time, there a "stretcher" is the wooden frame to hold the canvas that has nothing holding the wood together except the canvas. But it has little slots where we can put triangles to "stretch" the frame apart a little bit to accommodate any slack that forms over time because weather or something.
This has no place for the triangles (keys) and has wood attached to wood via staples at the corners so it has no room to move if I hammered the triangles in anyway.
...
I wonder if book binding tape can be frayed on the edges? It should have archival sticky right?