Kubernetes brings very little unnecessary complexity and does not consume valuable time (if there's at least one person in the team who knows it well enough).
Kubernetes might start consume valuable time if you would start to bring niceties. Like GitOps, CI, and so on. Those things are good but not necessarily justify time spent from the start. So you can start with simple deployment yaml which you can write with 10 minutes and apply it manually whenever you need to update it.
Kubernetes almost out of the box brings to you:
ingress. You don't need to set up your own nginx reverse router. This task alone could consume days of setting up and maintaining. I work with organization which spends 2-3 hours to update their nginx if they need new route. It must be done in off-hours because they break it every single time they touch it and then they need to fix it. Kubernetes ingress is a breeze of fresh air after this nightmare.
cert-manager. Again, I work with organization which failed at setting up certbot. Their certs break all the time. cert-manager just works.
zero-downtime rollout restart. This is absolutely nice thing which works from the box and hard to achieve manually.
kubernetes-dashboard. There're other dashboards as well. I think that lens is very popular although I didn't use it. It allows for people who know very little about kubernetes to interact with it productively. For example in my team we have developers who use kube-dashboard to view logs, to exec into pod and check things, to update deployment, change envs. They just push buttons in GUI, they have no idea about any yamls or kubectl. And it works.
And those things in my experience so far do not bring any unnecessary complexities. Quite the opposite. They solve lots of inevitable complexities for very little cost.