Nesting if_else in R

I am trying to apply some if and elseif statements to a couple of vectors to create a new variable.

C <- c(Standard, Micro, Nurse)
P <- c(Standard, NA, NA) 


DF.2 <- DF.1 %>%
  mutate("Category" = if_else(condition = `C`=="Standard" | `P`=="Standard",
                              true = "Standard",
                              if_else(condition = C` == "Micro" | 
                              `P`=="Micro",
                              true =  "Micro",
                              if_else(condition = `C` == "Nurse",
                                              true =  "Nurse",
                                      false = "Other"))))

When I run this code I expect to have a new vector of:

Category <- c(Standard, Micro, Nurse)

It seems to be picking up the standard and micro, but not the nurse.