Here's a Python function that implements the logic you described:
```
def add_book_to_library(library, book):
if book in library and library[book] >= 2:
print("Sorry, we already have enough copies of that book. Please donate a different book.")
else:
if book in library:
library[book] += 1
else:
library[book] = 1
print("Thank you for donating a copy of", book)
# Example usage:
library = {'Harry Potter': 2, 'Lord of the Rings': 1}
add_book_to_library(library, 'Harry Potter') # Should print "Sorry, we already have enough copies of that book. Please donate a different book."
add_book_to_library(library, 'To Kill a Mockingbird') # Should print "Thank you for donating a copy of To Kill a Mockingbird"
```
This function takes two arguments: `library` is a dictionary that maps book titles to the number of copies of that book currently in the library, and `book` is the title of the book being donated. If the library already has 2 or more copies of the book, it prints a message asking the donor to donate a different book. Otherwise, it adds the book to the library (if it's not already there) and increments the count of that book in the library by 1.