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my $flow_id = $data{partners}{$part_id}{flow};
for my $wfref (@{$data{flows}{$flow_id}}) {
    #...
}

my $partner = $data{partners};
my $flow_id = $partner->{$part_id}{flow};
...
for my $wfref (@$flows_ref) {
    #...
}

my $flow_id = $data{partners}{$part_id}{flow};
my $flows_ref = $data{flows}{$flow_id}};
for my $wfref (@$flows_ref) {
    #...
}

Change %{$data{flows   }} to just %flows.
Change %{$data{partners}} to just %partners.