I'm in my first year as a team lead, and the team I'm managing is mostly new employees who have all been hired in the past 6 months so they haven't gotten to a stage where they're comfortable with all the projects the team owns and need my help in getting them up to speed (I've been in the company for 3 years)
My team consists of 6 developers, a project manager, a designer, a scrum master that we share with another team and a business analyst, and me
How this has affected me is I rarely have anytime to do hands-on work and frankly I’m just burnt out from always rushing to get the work done over taking sometime to think about the projects we’re doing. Not writing any code made me distant from the developers and not into the details. Having to manage work for 6 developers is also very time consuming, and I feel more like a manager instead of a tech lead. I don’t have time to pair up with the devs which makes it hard for me to see what can be improved.
Recently, there was a pretty bad bug that made its way to production in one of the projects my team is developing that was caused by a human error and got missed in the PR
How can I convince management that I am overwhelmed by both the number of projects the team is required to deliver (hence the many many meetings) and the size of the team (I'd prefer 4 developers instead of 6)?