It seems like your question is a bit unclear or has some missing context. However, based on what you've provided, it sounds like Alexander is trying to determine if he should include himself in a photo where a friend looks tired.
If he's considering whether or not he should add himself to that photo based on certain criteria, some possible criteria he might think about could include:
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The sentiment of the photo: Is the photo meant to capture a lively, energetic moment? If so, including himself might not fit if his friend looks tired.
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Friend's feelings: Does his friend care about how she looks in photos? If she is self-conscious about looking tired, it might be considerate to avoid including himself in that particular photo.
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Personal connection: Does he feel a strong enough bond or importance to her that being in the photo outweighs her tired appearance?
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Memories: Will this photo be meaningful in the future, regardless of how tired his friend looks?
If the answer is "yes" to a certain number of those criteria, it doesn't necessarily mean he should include himself in the photo, but it may influence his decision.
To make a well-rounded choice, he should consider the overall context, the feelings of his friend, and the purpose of the photo. If you have specific criteria in mind, please share, and I can better assist you!