Scientific evidence showing what long time orchid growers have know for a while: hydrogen peroxide is toxic to orchid roots. Please dump your H2O2 down the drain or repurpose it for something other than orchids.
More specifically, they tested soaking orchid roots for 3 minutes at 3%, 6%, and 12% concentration. They found that "H2O2 concentrations of 6% and 12% damaged root health permanently, whereas the 3% H2O2 concentration only caused minor damage to overall root health. However, algae were not killed at the 3% rate." Therefore, these treatments are damaging to orchid roots and are likely ineffective at killing microorganisms (like algae).
Characterizing the Phytotoxic Effects of Hydrogen Peroxide Root Dips on Hybrid Phalaenopsis Orchid Plants in: HortTechnology Volume 31 Issue 6 (2021)