Do not give your senior pet to an animal rescue. I think the mental anguish they'd experience they'd suffer from feeling abandoned would hurt them so, so much.
Do your best. Talk to your vet and ask for guidance.
We all face this, eventually. It is hard to face that our cherished pet is aging, but it's our duty to see them through.
When the government starts promoting particular products, whether it's Goya beans or Teslas, there is a line being crossed. This administration is completely topsy-turvy.