It looks like they punish you if you get a better deal. I did check Expedia, and they had a lower rate, the BRG won't apply because Expedia, besides having a lower rate, also gives a game for free (I am not asking the hotel to match the game), this is the quote

The Best Rate Guarantee does not apply to rates that include additional services or amenities that are not provided by the hotel. These rates, called packaged rates, include extras that are paid for by a third-party, in this case Expedia.com. Common examples of packaged rates are those that include breakfast or parking where this is actually paid for by a voucher or by a separate charge to the third-party.
Expedia.com offers a Free Cranium Zigity game with the rate for the one-bedroom residential suite.