Factor + combinators.extras, 4242 35 bytes
0 [ read1 ch>lower 9632 -mod dup . + ] thrice .
-7 bytes thanks to @MarcMush
0Push0, our sum, to the data stack.[ ... ] thriceCall a quotation three times.read1Read one bytecode point from standard input.ch>lowerMake it lowercase, e.g. 65 -> 97 or 97 -> 97.9632 -modSubtract 96 from itModulo 32.dup .Output on its own line non-destructively.+Add it to the sum..Print the sum.