I hate to be the bearer of bad news - the only way to get anti-freeze in the passenger compartment (other than putting it yourself) is a leaking heater core - on these vehicles, the coolant circulates through the core whenever the engine runs - there is no flow control tap, temperatures are set by air blend doors.
Now the "good" news - the heater core is centered behind the dash, what's off to the passenger side is the a/c evaporator, and it's not very likely for the coolant to migrate sideways in case of a leak - are you sure it was anti-freeze?
Open the glove box, empty it and flip it outwards, squeeze the sides in to get past the limit stops - you can now see what's behind it - a/c evaporator, recirculate air door, cabin air filter, etc. - is there anti-freeze there?
One last thing - you don't want to leave this longer than you have to - the ECU is one of the "components just below the glove box" - not the best place for it, but that is where Suzuki put it.