Doing two course at a time is valid as per the latest guidelines of the UGC. Now if you wish to go for this, then before taking admission you should discuss with the BEd college, what can be the official issues which can become a problem during your Masters. You should ask them, what will be the college time/attendance/examination timings etc. In many colleges, they are very flexible to accommodate with the students. Such things are most observed in the private colleges. So I would suggest if you wish, take admission to the private BEd college and you will hopefully get good time to balance both the course work. Although, you should visit the BEd college in person, and get discussed about the issues and if you feel that the college is considerate enough, then only go for the course.

For more information regarding the BEd consider the link below:

https://www.careers360.com/courses/b-ed-bachelor-of-education

I hope this helps. Wish you a great day!