How to Bluetooth Mac Neo/ iPhone 16 Pro Max?

Please explain what you need to accomplish by pairing the two. The reason for asking is that we do not pair iPhones and Macs in any traditional sense. In lieu of such "pairing" we use Continuity features, which use both Bluetooth and Wi-Fi in conjunction with all other Continuity system requirements.

Read about those features and requirements here: Continuity features and requirements for Apple devices - Apple Support.

That has never been a feature of the iPhone. You can't pair it with another phone or a computer. There is no need to do so.

Read the article linked above by John Galt.

You can also use AirDrop to transfer items between the two devices:

Use AirDrop to send items to nearby Apple devices - Apple Support

Macs and iPhones can also work together using

• iCloud-based synchronization of photos, messages, contacts, calendar entries, files, etc.
• connections to shared e-mail accounts (which can have associated contacts and calendar entries)
• manual synchronization of items in a Mac's Music, TV, etc. libraries to an iPhone using the Finder (which you might want to do if you had, say, music that you had purchased on CDs)
• manual imports of photos from an iPhone to a Mac (if not using iCloud Photos)
• (optional) subscriptions to services like Apple Music, Apple TV, and Apple Arcade (subscribe once, and gain access to content on all of your devices)