Illustrator does not insert images from Telegram by drag&drop
When I try to drag and drop an image from Telegram into Illustrator, it inserts the text of the temporary file path instead of the image.
Note that drag&drop from Telegram to Photoshop works correctly. The same method can be used to drag and drop images to the desktop or other applications.
Mac OS 12.6 (but I have tested it on Windows too)
Illustrator 26.5 (but also tested with previous versions)