Re: "MacBook Air 2017 model does not see AirPods Pro 2 "
The AirPods need to be in discovery mode (flashing white) in order to pair them.
If needed: How to reset your AirPods and AirPods Pro - Apple Support
Also, wondering if Apple support's online article (link below) can help:
How to: Set up AirPods with your Mac and other Bluetooth devices - Apple Support
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Trouble-shooting:
You might want to check that you are only connecting AirPods to one device at a time.
Eg: See if turn off / turn on bluetooth helps: or How to: Switch your AirPods to another device - Apple Support
What to do: If your AirPods or AirPods Pro won't connect - Apple Support
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If needed: Resource: AirPods User Guide - Apple Support
More info. / support / contact options etc. : AirPods Support website: AirPods Support - Official Apple Support