Switching from Lightroom to Classic from App Store

The way I view the Adobe Photography Plan is, Photoshop is the main application of the bundle and this comes with Bridge and Adobe Camera Raw. Lightroom Classic is included as an alternative to Bridge / Adobe Camera Raw and the ability to share your images  with Lightroom (Desktop), Lr mobile for iPhones / Smartphones, and iPads / Tablets. This allows users of phones and tablets to capture images to store, manage and share their images online. At $9.99 per month for the bundle is a steal in my opinion.

Lightroom Classic is not marketed as an individual application.

Just want you to know tbird that its May 2023 and Adobe STILL contine to make it insanely difficult to complete such a simple task that is upgrading or buying a different product. i too thought i was using lightroom classic through the app store but suprise suprise, i guess not (great job marketing!). so yeah, still extremely difficult to tell the difference between products at a glance or before paying, still extremely difficult to upgrade to the product you want/need if you subscribed through the app store first. 

• Part of your issue is the practice of acquiring software for Apple devices only via the Apple App Store.
• Part of your problem is Adobe Marketing, that re-marketed the Lightroom programs, such that the traditional full capability program is now called Lightroom Classic, the lesser Lightroom,
• Part if your problem, once again, Adobe, marketing that lesser Lightroom product as Lightroom with the abbreviation Lr, and now includes every conceivable Mobile device under the same name Lr.

Now, to separate two programs Adobe sells via subscription, that run on your computer.

• Lightroom (Lr) a.k.a Lightroom Desktop, nickname Lightroom Cloudy, (my personnel nickname Lr POS), runs on computer, uses Album stored on the Cloud, stores photos on the Cloud. Less capable, different GUI.

• Lightroom Classic (LrC), the successor of the original Adobe Photoshop Lightroom that used to be stand alone (standalone ending at v6.14). Runs on computer, uses a database, the catalog, on your computer, photos on computer by default but can be anywhere. More capable than Lr or any of the Mobil apps.

As for source. Some state the computer version of Lr is found in the Apple Store. It may or may not. I think not, those are apps for Mobile. Even if it is, the full blown Lightoom Classic is not. When you enter the Apple Store from a MACOS device (not so much from an iOS device, my bad) yes Lightroom (Cloudy) is available, but Lightroom Classic is not. Note, if searching the Apple Stire via an iPad, lots of Lr (for Mobil)

The proper way to obtain LrC, and for that matter all the Adobe CC programs is thru Adobe. You need to:

• Select an Adobe Plan
• Subscribe, pay, for that plan, be it monthly or annually, a year commitment is required
• You need to download and install the free Adobe Creative Cloud Desktop App (ACCDA)
• You then use the ACCDA to install the various app,

When you select an Adobe Plan, be aware that while a separate plan for just Lightroom (Lr) is offered, no separate plan for Lightroom Classic (LrC) is offered. Lightroom Classic is available in other bundled Plans, the most prevalent being the Photography Plan. The Phottoggraphy Plan includes PS, Lr, LrC, Bridge. You may never ever use Bridge, you might not want to use Lr again, but you will eventually wantbto be able to use PS IMO.

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What app store? The Apple App store seems to have Lightroom Mobil for iPhone, iPad. Anyway have you looked this over?

https://helpx.adobe.com/mobile-apps/help/lightroom-mobile-faq.html