You stand a better chance if you're from a brand name, big firm.

I transited from a mid sized firm (doing disputes and the occasional odd contract review) to in-house at around 4-5PQE. But moderate your expectations. The better in-house roles in the more exciting industries are reserved for those with corp experience.

You need to play up the advisory aspects of your experience in your CV, so that your recruiter can sell you better. That means remove all the nitty gritty references about liti. Nobody is interested in reading about "interlocutory applications" or "security for costs" in your CV.

Use your first in-house job as a stepping stone to better roles. Good luck.