Well, I suppose if you befriend an extremely powerful guardian of nature, that’s better than catching it…

In any case, this is a bit difficult because you mention you have less time to devote to her. Nonetheless, latias are highly intelligent pokémon capable of disguise, so as such, if she’s a particularly curious pokémon, one thing you might be able to do is, well, take her to places as you would a human friend. If she isn’t particularly curious or if you would rather not risk having her disguise herself and taking her to highly populated areas, you could try sparring with her using your own pokémon, giving her toys or gifts, or participating in creative activities with her. It really depends on her preferences, so ask her what she would like to do (not only in relation to the above but also in general).

Best of luck!