The \G anchor does no harm, but is not necessary in the OPed example case (/g modifier causes match position to be preserved in void/boolean/scalar context):

Win8 Strawberry 5.8.9.5 (32) Thu 12/17/2020 23:11:18
C:\@Work\Perl\monks
>perl -Mstrict -Mwarnings
my $string = " info

                    info


                100 - 2000


                  Kent";
my $word = "info";

$string =~ /$word\s*?(\S+)/g;
my $next_word = $1;     my $nwo = $-[1];  # offset of start of capture
$string =~ /\s*?(\S+)/g;
my $next_word_2 = $1;   my $nwo_2 = $-[1];

print "The next word after $word is $next_word @ $nwo \n";
print "The next word or number after $next_word is $next_word_2 @ $nwo
+_2 \n";
^Z
The next word after info is info @ 27
The next word or number after info is 100 @ 50
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(Repeated words are also handled properly with/without \G.)