Will ammonia continue to accumulate in an aquarium tank if a strong antibacterial or chlorine is added to the water?
A very large part of the bacteria and fungi will die so very few biological prosesses will continue in the tank if you add chlorine or antibacterial chemicals.

Ammonia will slowly outgass from the water oxygen and CO2 will reach equiriblium in the water as little oxygen is used and little CO2 is produced,it is the same with the other atmospheric gasses.

Life in the tank will simply stop until the toxins are broken down or removed,by toxins i mean chlorine and/or antibacterial chemicals.

Nitrate level will not change as little is produced and little is used,any denitrification will stop too.

denitrification can only happen in an anaerobic environment but denitrfying bacteria too are killed by chlorine and antibacterial chemicals.