@sergeygabrielyan I recognized those custom post types, ha! I just ran into this same problem, and your post showed up in Google results, thank you so much for the solution!
For the record, all I needed to add to my theme.json file was the following and then I could successfully select my custom page template from the page editor screen:
"customTemplates": [
{
"name": "emptycanvas",
"postTypes": ["page"],
"title": "Empty Canvas"
}
]
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This reply was modified 5 months, 2 weeks ago by bradschiff.