Should the run count?

[Jesse James]

Question is a very simple one, but since I've never umpired baseball-only played, I don't know the answer. Two outs, R1 and R3. Routine ground ball to F4, who instead of flipping to F6 or F3 for the 3rd out, chases and eventually tags R1. R3 touches plate before tag is made on R1. Does the run count, or is the play treated as a force, even with the tag? Thanks in advance.