Home Assistant does not start after power outage

When I connect hdmi, nothing shows. I had every time to disconnect and connect power to start home assistant. If I unplug rpi power and plug it again every thing works fine. I don’t know what is the difference. I am using rpi4 2gb connected with ethernet to router, static ip from the router. Running HA core 2021.2.1, supervisor 2021.2.6 and OS 5.11

To get it correct :
you connect the power supply with HDMI in, and the rbPi does not start
you cannect the power supply without HDMI, and the rbPi starts.

That is the question ?

Why do you need to connect HDMI to your RPI? I mean if you used it as a server might as well run SSH its much easier.

the rpi does not start either with or without hdmi. I connected hdmi to see if there are any errors but nothing at screen. SSH also not working (HA and all addons not working)

My question is: Why does not HA start after a power outage? how to solve it?