Most probably you have two standard lib installations on your system, one from the original Go installation, and the other one from the brew installation. The Go tools use $GOROOT to find the standard library, and apparently $GOROOT points to the wrong one.
Call go env GOROOT. With a Homebrew installation of go, it should point to /usr/local/Cellar/go/1.13.8/libexec. If it doesn’t, change the GOROOT env var in your shell accordingly and look if the error is gone.
In general, you will want to remove all artifacts of the old Go installation. brew install go does not automatically uninstall other (read: non-brew) Go installations.
See also:
(found via Web search: "compile: version" "does not match go tool version")
@lutzhorn there is nothing wrong per se about installing Go via brew. I use brew for Go since years and am living happily with it