Do the work of the next position before you get it. Titles tend to follow proof.

Titles usually confirm something rather than cause it. Whoever decides if you can handle the next role is looking for evidence, and the only evidence available is what you already do without being asked. Waiting to be promoted before working at that level leaves them nothing to point at, so the role goes to whoever handed them proof.

Find one thing the next level up does and start doing it quietly now. Train the new person, run the closing checklist, write the summary nobody assigned. Keep a note of it so the conversation has facts in it.