How to get into an accountancy practice

So i am currently working as a accounts assistant in an organisation and studying AAT as well. I would like to move on to working and gaining experience in a accountancy practice/firm after my contract ends on my current role. Most of the jobs advertisements in that sector already requires you to have some experience in an accounting firm (which i do not have) and that means i already cannot apply.

I would really appreciate it if i can get some advice on how to get a start in an accounting firm. Also, if there's someone who has been in a situation similar to mine i would love to hear their story and how they went about it.