Hello
Thank you for posting in Q&A forum.
From the picture, first laptop is connected Wi-Fi before login, and next one didn't. it shows no internet, that is why you can't see Wi-Fi icon.
Open Settings and click/tap on the Network & Internet icon.
Click/tap on Wi-Fi on the left side, and click/tap on the connected wireless network on the right side.
Turn on or off Connect automatically when in range for what you want for this wireless network.
Best regards
Yanhong
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