Reid himself came close to equalising at the death after Albion snatched a goal back through Youssouf Mulumbu five minutes from time.
"When we went down to nine men, instead of dropping our heads and that sort of attitude, it kicked us on," the former Republic of Ireland international told the WBA website.
"We love fighting for the shirt and playing for the club. We're disappointed with the result but I think there are more positives to take out of it than negatives.
"The first sending off and the penalty incident changed the game. I went on in a centre-half role and then there was the second sending-off.
"It's difficult when you go down to nine men but the lads showed great spirit and character to stay in it.
"When you go 2-0 down with nine men you might think you're dead and buried, but Youssouf put away a great goal. I had a chance right at the death and Jerome had a great chance as well.
"We created chances and continued playing the way we do.
"We played some good football with nine men.
"They had a few chances as well but we were devastated we didn't nick a point."