No macOS boot option after installation

I successfully (probably) installed macOS Sonoma on my external HDD. I'm not sure because when the apple logo part finished, the system restarted and I didn't have any MacOS boot option, only the installer,reset nvram,installer,recovery. From what I have seen, a macOS option should've appeared, which should bring me to the operating system, but it's not there. I've tried to press space and even redoing the whole installation. Any ideas? Thanks

submitted by /u/quanticworld
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