If you are looking into more of the "people" side of things, I would HIGHLY recommend Never Split the Difference by Chris Voss [0]. A big part of being a team lead and/or working at a larger firm is understanding where people are coming from and then convincing them that your solution is "win/win". The book is great at highlighting multiple different tactics to do that.
Turn the Ship Around [1] is also great at giving examples of how to "change organizations in place". If you end up at larger firms, there will be a LOT of legacy infra and processes that you may want to improve. Marquet gives excellent examples of how to change things WHILE ALSO getting buy in from the team.