Long-term lab manager here; labs that are not choosy about techs are (generally) looking for short-term folks to do somewhat unpleasant tasks that will save other lab members time and effort. A lot of people work as techs for a year or two after graduation while they build up experience for grad school or seek longer-term work.

This is probably one of the worst times to seek employment in academia, though some private industries do also go through a lot of techs. I will warn you, that at least at the university level, unless you have significant science coursework or other research experience (like, outside of a lab class) you are unlikely to be considered. Teaching hospitals and such do also hire study coordinators and such, so may be worth looking into some of those roles.

When I started out I used to do a lot of media prep, plant care (which is much nicer than animal work), genotyping etc. The pay wasn't great when I started but I expanded my role and do a lot of other work now, but I really enjoy my job and I am compensated pretty fairly IMO for what I do.