I had the same issue and bought the Cate mate C500 from Amazon for $50 and it workes great! I would highly recommend; it has 2 ice packs and I set it for 2 and 5 am. https://www.amazon.com/Cat-Mate-C500-Automatic-Digital/dp/B01AUYLVU8/ref=mp_s_a_1_3?dchild=1&keywords=automatic+cat+feeder+wet+food&qid=1623191927&sr=8-3

The one thing I'd be worried about is most wet food brands I've seen says to refrigerate after opening so keep that in mind depending on how long you plan on leaving it out. I did see this one that had an ice pack to help keep it fresh but I haven't bought it yet: https://www.amazon.com/dp/B01AUYLVU8/ref=cm_sw_r_cp_apa_fabc_FYD2PCYX1GBQ2D3N2EFT