Instead record in the File whether it is stdout/stderr. This avoids a
race between a call to epipecheck and closing the file.

Fixes #21994

Change-Id: Ic3d552ffa83402136276bcb5029ec3e6691042c2
Reviewed-on: https://go-review.googlesource.com/65750
Run-TryBot: Ian Lance Taylor <iant@golang.org>
TryBot-Result: Gobot Gobot <gobot@golang.org>
Reviewed-by: Daniel Martí <mvdan@mvdan.cc>
Reviewed-by: David Crawshaw <crawshaw@golang.org>