Car registration renewal

Hi all..

Had a question regarding getting my car's registration renewed. I've started a job where I am traveling every week and just realized today that my car is actually 4 months expired on the registration (expired back in Jun2021).

It's a new car that I bought pre-pandemic in 2019, and I don't remember receiving a green slip in the mail so that I can go to HEB or some grocery store to pay for my registration renewal there.

Once I go get my vehicle inspection done, online it says I have to go to a local tax office to get it complete there. Is that right? If so, is this address: 1001 Preston St, Houston, TX 77002

The one I can go and get it done and taken care of? Not sure why this year I didn't get a green slip for renewal like I've done with my older cars.

Thanks for any help in advance.