Walking With The Dog (2004)

Dumped by a bored pet owner, a mixed-breed mutt ends up with three time loser Yasuyuki, who's loveless, homeless and jobless. Yasuyuki finds solace in the dog, whom he calls Tamura, and uses it to mend fences with his ex, who's distracted by her mother's debilitating illness. A trip to a hospital reveals Tamura's ability to comfort dying patients, leading to dog and master attending the real-life Japanese Therapy Dogs training school.

Unfortunately the movie Walking With The Dog is not yet available on HBO Max.