Currently, the ticket page itself has no information on the board is belongs to. Unlike in search, there is no little tag showing a clipboard icon followed by the board name (only the status in Closed/Complete).
The only way is to check the URL which contains the board name in hyphenated-form, but it's not ideal.
(note: I'm not using Canny for my own platform, I'm just a customer of a platform that uses Canny and I noticed this issue and I know it must be solved upstream so I'm directly creating an issue here)