Comment by TheDom

Just the standard advice: It's usually much easier to switch into a new role (MLE, manager,...) at your existing company than landing those roles directly at a new company. So if your current employer does not employ any MLEs, consider joining another company that does– but apply for a role you're currently well qualified for, and then try to make the switch internally. Consider being up-front about that in the hiring process to get signal on how supportive a company is.