Is it permissible for me to perform ablution a period before prayer due to continuous discharge and the distance of the mosque, and in this case, can I pray Asr with the same ablution as Dhuhr?

The summary of the answer is as follows: Firstly, whoever has a constant impurity, such as a woman with irregular bleeding (mustahadah) or one who suffers from urinary incontinence, must perform ablution for every prayer after its time has begun, because their purity is a purity of necessity. Secondly, if a person with a constant impurity performs ablution at a certain time, the ablution becomes invalid upon the expiry of that time, even if no other nullifier occurs. However, if nothing nullifying issues from him after ablution, and his ablution is not invalidated by another nullifier, then he may pray with the first ablution, according to the correct view. Thirdly, a woman's prayer in her home is better than her prayer in the mosque, but if she wishes to attend congregational prayers and Tarawih, there is no harm.