What is the test for a prison official to be found to have violated the Eighth Amendment by failing to provide adequate medical and dental care for inmates?

"The Constitution does not mandate comfortable prisons, but neither does it permit inhumane ones." Farmer v. Brennan, 511 U.S. 825, 832 (1994) (internal quotation marks and citation omitted). "[A] prison official violates the Eighth Amendment only when two requirements are met. First, the deprivation alleged must be, objectively, sufficiently serious, a prison official's act or omission must result in the denial of the minimal civilized measure of life's necessities." Id. at 834 (internal quotation marks and citations omitted). Second, the prison official must subjectively have a sufficiently culpable state of mind, "one of deliberate indifference to inmate health or safety." Id. (internal quotation marks and citations omitted).