Google missing from the search engine list in Chrome?

Second-hand laptop plus Google gone from the list usually means something changed it, an extension or a bit of adware. Go through Extensions and remove anything you don't recognise. Then Settings > Reset settings > Restore settings to their original defaults. That puts the search engine back and turns extensions off. If Chrome says Managed by your organization anywhere, it's a policy doing it and the reset won't stick. Malwarebytes usually cleans those out. And on a hand-me-down a fresh Windows reset isn't a bad idea anyway.