And they even convince you to by complex and complicated products to go along with their expert information
I do not think there is any question your moms tank is in the Nitrite spike of the cycling process. It is usually the slowest to occur as the bacteria colonies establish themselves. Sometimes the Nitrite spikes are worse than the ammonia spikes, and are more toxic.

Fishless cycling would have helped.
Read the stickies on tank cycling, copy paste and give the information to your mom. This is aquarium start up basics.
Zeolite is a crystalline compound both formed in nature and man made. The crystals are capable of adsorbing certain chemical compounds and holding them. There are hundreds of types of Zeolite compounds each more effective with this compound or that. In the aquarium hobby, you will find them marketed as ammonia removers. NOTE: they trap and bond ammonia they do not detox it. The ammonia is still available for bacterial consumption it is just not present in the water column.
Everybody cool with that
Therefore using zeolite during the cycling process will probably slow the bacterial colony building down , and will not help with nitrites already being produced. The presence of ammonia is crutial in tank cycling.
Zeolite is most useful after a tank is fully cycled and established. Say I want to add 4 Anglefish. I know my bio-filter is large enough to handle the fish I have and the waste they produce. Adding a little zeolite to the filter will prevent an ammonia spike in the water column and let the bio filter increase to handle the load.
Salt Read the sticky on salt use in a freshwater aquarium.
Had the lfs guy said "a little salt will help the fish with their stress" over high nitrites. "It will not detox the nitrites or cure any damage done to the gills or system, but it will ease their suffering a bit." Then I would continue to seek his counsel. Get my drift
Regards,
Jay