[groff] Is it a problem if my TMAC is licensed under 4-clause BSD but relies on Groff?

[Stephanie Björk]

According to Wikipedia:

In addition, the clause presented a legal problem for those wishing to
publish BSD-licensed software which relies upon separate programs using the
GNU GPL: the advertising clause is incompatible with the GPL, which does
not allow the addition of restrictions beyond those it already imposes;
because of this, the GPL's publisher, the Free Software Foundation,
recommends developers not use the license, though it states there is no
reason not to use software already using it.

My TMAC relies on Groff (mostly the features, but it also works on
Heirloom), which is licensed under GPL.  Will it wreak havoc if I license
the TMAC under 4-clause BSD?