Is uber available in Trivandrum at 5-5.30am in the morning?

I'm planning to join a runners club which meets at around 5-5.30 am 3 times a week. I'm a young woman(22f) and I want to know whether uber is safe to use so early in the morning in the city for women. I do have a driver's licence, but I'm still learning driving by myself and it will take a month or two for me to be able to drive stress free early in the morning. Moreover I do take multiple anti anxiety and anti depressant medications, so it's extremely difficult for me to not be groggy so early in the morning, so that holds me back from from trying to drive at 5 am. I really want to get into running to manage my health and weight gain due to psych medications. Does anyone have any advice on what I could possibly do if uber is not an option?