MacBook stuck in loop

MBP late 2013 model just stopped working one night. Everything was taking 15min to load. I was suggested to replace the battery & before doing this I tried reinstalling Big Sur. That didn’t work because I don’t think I had the space. Fine. But somewhere along the way, I hit something I shouldn’t have & suddenly was stuck in a loop of Startup Disk window with the only option going into Target disc mode which does nothing. I ended up completely wiping my MacHD in Utilities in recovery mode & it still won’t install the OS cause it just keeps getting stuck at “less than a minute remaining”. I can’t tell you how many times I’ve tried to reboot this computer in different ways, but I don’t get any other option & I couldn’t even get back to the log in screen before wiping the HD. I have no clue of any other option at this point. Genius Bar is a good distance from me. What else can I do. (I don’t have Apple care)