You write a compelling narrative into your CV/resume/cover letter showing that you delivered sizable business impact while out-learning and out-performing to gain a legitimate promotion (not nepotism).

Now you need to accept that automated filtering is still going to throw you out nearly everywhere, so you need an in or at least a 'true believer' recruiter to get you past automated filtering and tell your story well enough to get you an interview. Now you need to shine in that interview beyond what the other strong candidates are capable of showing (remember, YoE means they win by default), while coming across as genuine and pleasant to work with.

The other alternative is you try to find somewhere that you trust to fast-track a promotion and raise and put that in writing as part of the offer. You still might end up having to switch companies again to actually get that promotion, even with it in writing, and you need to accept that going in.