Can we enter Thailand with a 30-day visa exemption while waiting for our ED visa approval?

Hi we were travelling around SE Asia for a year and went to Thailand three times (few months apart) within that year and on the third visit we got visa extension for one more month. We really liked Thailand and decided to come back for a year to learn Thai on ED visa so we applied for it while back in Canada. It's been over a month and no update on the application yet but the embassy said it could take couple more weeks. Unfortunately we already booked the tickets in advance to come back next week to avoid expensive flights and prepared our paperwork to bring our cats with us. I'm wondering if it would be ok to go to Thailand with the 30 day visa exemption again with our cats and wait for the embassy to issue our visa and then exit thailand and re enter while leaving the cats with our friend in thailand. Does anyone know if there would be any issues with this? Traveling with our cats is very stressful so we want to avoid any complications if possible. Thanks!

EDIT: In response to the feedback for the removal of the post, yes we submitted ALL of the required documents made by the school and signed by the MOE in thailand to our embassy. The delay is not due to that, they said they simply need minimum 25 business days to process due to high volume which we didnt realize before. Hope this answers the concerns in the feedback. My question is more on the implications of entering with 30 day visa exemption and exiting and reentering with the ED visa once issued. Also if there are any issues bringing cats on the 30 day visa exemption while we wait for the ED visa.