Comma use in a complex sentence: independent clause combined with non-essential relative clause

I have the following sentence, where I have difficulty with the correct usage of commas.

Inpatient nursing care is available for medically stable patients, who do not require constant medical attention but need nursing and medical procedures that cannot be delivered at home.

• Is the comma before "but" unnecessary as the last part is not independent clause? https://www.grammarly.com/blog/comma-before-but/
• Should "who do not require constant medical attention" be separated with commas as it is a non-essential relative clause?
  https://prowritingaid.com/grammar/1008112/comma-before-which-where-who