Shift coverage. Who is responsible here?

I have a kinda odd situation and I could use some advice. I will try to keep it brief. A few days ago, a fellow SSV at my store asked if they could take my close tomorrow (Monday 12/7). I agreed as this person has had their hours cut lately. I was off the last couple of days so I wasn’t in store, so today when I came in and checked the schedule, I noticed that I was still listed as the closer on both the weekly schedule and on the DCR. I asked my SM if she had been notified of the change and she said she had not.

I texted the other supervisor to confirm that they were covering. They denied ever asking for my shift, even when I sent them a screenshot of the conversation. I feel like an idiot for not immediately notifying my SM, but I assumed that this SSV would since they were the one asking for the shift.

As I understand it, since nothing was changed, I am still responsible for the shift. Is this correct? If I’m not, is there anyway to resolve this without burning any bridges?