Hi Welcome to COL
I never got up with my pups, they had beds in the conservatory which has a wipe clean floor. I would pick up the water from about 8pm they would go to bed at around 10.30. I put newspaper down and they used that
then as they got older their little bladder get stronger as could hold on until the morning
During the day they would be taken out every 1 hr or so and told wee wee, when the job was done lots of praise and a treat
mine picked up the command very quickly.
Its very tiring having a pup but its won't last too long
Many people do choose to get up with their pup during the night
you must do what suits you and your pup
Try lifting the water earlier in the evening to see if that helps. Would love to see a photo of your little one
good luck Jo