J.R. S. answered 12/01/19
Ph.D. University Professor with 10+ years Tutoring Experience
The catalyst can be identified by the fact that it is not used up or consumed in the reaction. So, we want to look for something that is present as a reactant, and also as a product, i.e. is not consumed or changed.
In the present example, we have Mn2+ as a reactant in Step 1 but it appears as a product in Step 3 so it has not been consumed or changed, thus making it a catalyst.
As a side note, you can see than Mn3+ is a product is Step 1 but is used as a reactant in Step 2. This qualifies Mn3+ as an intermediate.