I think we need to clarify the objective here.
1). If removing the tannins is the objective, then a chromatographic procedure or adsorption onto activated charcoal as described would work.
Alternatively, filtration of the coagulated tannins (no idea how to coagulate) would remove them.
2). However, use of an oxidizing solution will NOT remove them; it will merely bleach (decolorize) them (maybe) into invisibility.
If (2) is the objective and the resultant "tea" is to be drinkable, then hydrogen peroxide solution (H2O2) from the pharmacist may be suitable. Peroxide solution is usually either 10% or 30%, I cannot remember. CAUTION, you do NOT want to drink undiluted peroxide, NOR do you want it splashing in your eyes !!!!!!!
I suggest that, in a small-scale trial, you add 1 volume of H2O2 to 10 volumes of tea. If Tea is not decolorized, add another 1 vol. of H2O2 etc. If the tea does become decolorized at some point, you may still have residual H2O2 present. This will be decomposed to oxygen and water by boiling your solution.