When this question is asked here the answer usually is "there is no reason you have to experience it yourself", unlike buddhism which also puts experience on the forefront but provides detailed logical argumentation for samsara being empty as well, is advaita purely experience dependent with no other proof for itself?

If Adi Shankara can create extensive logical reasoning to dismantle shunyata I simply refuse to believe that he would not have provided logical reasoning to establish brahma as satya and jagat as mithya.

And even considering experiencing brahman, the method in use which is sakshibhava is very similar to vipassana of buddhism so how do you know that what you are experiencing is indeed purnata and not shunyata?

So I am looking strictly for learned people who know the logical reasoning that advaita provides for the existence of brahman.