I sympathise with you completely, although my situation is slightly different, I am the maternal granny and live 150 miles away, the paternal nanna is on the doorstep.
A friend said to me, he had a doorstep nan and a distance granny. Doorstep nan was involved in his upbringing which included discipline. He always looked forward to seeing his distance granny as she was special, had treats and never told him off!
My grandchildren are older now, 16 and 12, rarely seeing doorstep nan, and even then only for an hour at a time a few days a month, as they have busy lives themselves, however I get to see them for a good few days, when I go to stay or they come to stay with my other daughter & SiL (their much loved auntie and uncle) who live a couple of miles from me. Set up a family WhatsApp group to exchange videos and photos plus a WhatsApp with just your daughter so you can both check-in regularly, even it's a one-liner.
On another note, I have always been asked by youngest daughter to help with their dog if they are stuck at work etc, now my SiL’s parents are buying a house just 4 doors down from them and I just know they will be called upon for dog care!! 😳