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Pixelmator probably is Lightroom. And adobe has "Photography Bundle" with Lightroom and Photoshop for $20/mo.

No, Lightroom is a dedicated photo editor and DAM.

Pixelmator is closer to Photoshop, you can do some photo editing, but its not focused on it, and does not have asset management.

No, Photomator (and Photos) is Lightroom. Pixelmator is Photoshop.