How can a search box on a website be exploited?

When the command is executed, how can it lead to a fake site created by the hacker and be exposed to hacking?

all/most web attack vectors rely on user input. a search box can be vuln to many things. xss, sqli, csti, csrf, code injection, command injection, etc… some may be unlikely but in certain scenarios, still possible. try all of them, or maybe try polygot payloads to speed it up, although it might be a bit less thorough.

basically anything that requires user input in a text field is exploitable

XSS or SQL injection

You put symbols in it and it tells you things. If you put the right symbols in it then it might do things.

It’s like a command line… Feed in the right set of moon runes and if the system can do it it will…