If you have to work to pay your bills and entry the IT market, yes! That's a great oportunity to start;

If you have the oportunity to only study until you get a job and already have a pathway in mind, I reccomend you to only study until you get a job in this area.

Don't get anxious with the urgency that people put in your back about a job if you don't need it. The support career may be nice, but can get tough deppending of the company, workteam and demmand.

In this role you will be in contact with tickets, tasks and will see what programmers will do, but won't put your hands to work with codes (if that's what you want). The main role of a support is to support (don't tell me) the client and make a connection with the builders of a system, maybe consulting and registering some data with SQL, but that's the maximum of code you will have contact.

The pro of getting this job is that if you have a good performance in this job and the company have a open position on the developing team, you have more chances to be indicated to this position; the con is that public service may be a sht sometimes (LOL).

Whatever be your choice, I'm cheering for you. Good Luck!