This.If the designers wanted to allow this stacking, they could have used a different term than concentration
As for your question: I don't believe thinking in terms of "slots" is helpful: a character can concentrate on one thing at a time, period.
Psionics and the Mystic(UA) said:any effect that causes a mystic to lose concentration causes the discipline to end
PHB said:The following factors can break concentration:
- Casting another spell that requires concentration.