Hey there,
So since you're starting your journey into succulents you'll definitely want to repot into something that has drain holes and read through our sticky thread on soil for succulents and cacti to know what type of soil you should use when you re-pot it! Members have their personal mixes posted in there!
Once you've done that you'll want to wait a week before watering again to give the roots time to callous with potential damage during, and then once you resume watering you want to water fully so the soil becomes moist and drains out the bottom, and then wait to water again until the soil has completely dried. This is going to be very important since you are planning on keeping it indoors. Succulents do not appreciate being constantly moist and moist too long and welcome the soil drying completely! So the daily watering won't be good for it long term.
All in all you'll have much better success changing things from the very beginning and then you and your plant can make memories through the years!
Welcome to NGA, we have a wonderful friendly community here!