Prospective International Student - Economic Conditions?

Hi, I'm considering coming to Uni of Tartu as an international student for the bachelor of Science and Technology. I live in Australia which seems to have a good reputation for our unis but in my experience they are really not very good, while UT seems to me a world-class option for cheaper tuition than my country as well.

So I have some questions about the economic situation in general and particularly for international students. Some background about me - I've worked in hospitality for 11 years and have a lot of experience in cooking. I haven't been to culinary school but do have a large amount of experience up to leading small teams and trade qualifications in food safety. Also have a small amount of construction labouring experience. Also basic self-taught programming, but I imagine the entry level tech jobs are highly competitive in Estonia so I'm not even considering that an option really.

First question - What do you think would be the job prospects for me in Tartu? Is there a decent amount of cooking, labouring, other basic jobs available and how difficult would it be to survive on part-time hours, also with only very basic Estonian language?

Cost of living - I've read on this sub that cost of living is relatively high in Estonia in recent years, is this the case? Chat-gpt has misled me if so. Are there many thrift shops in Estonia where you can get second-hand clothes and kitchenware for cheap?

Is the unemployment insurance available to foreigners who have work history? I don't plan on using or relying on this, I don't want to mooch on your system and self-sufficiency is important to me, but if it's there as an emergency safety net that would be nice to know.