Is it permissible to perform the prayer with the intention of acting for therapeutic purposes, then repeat the prayer with proper ablution and full intention?

It is not permissible to deliberately pray without ablution (Wudu'), and you must seek forgiveness for what has occurred. What was obligatory upon you was to perform a correct ablution while disregarding the obsessive whispers (Waswasah). We advise you to turn away from these whispers. So, when you perform ablution, do not exceed washing any limb more than three times. Similarly, do not repeat any remembrance (Dhikr) from the prayers merely due to obsessive whispers.