Yosuke had been sent home from Atia, rather than straight to Coba. He made his way to Coba after a few weeks at home because he needed a break, he needed a vacation absolutely anywhere and all the cheapest bus tickets led to this place.
What did he need a break from? The sads of being separated from Inaba House and especially Naoto. It's not as if he didn't have everyone at home, but he had different relationships with those iterations. He misses the closeness of Atia, forced or not. And of course he'd miss his girlfriend most of all...
So he's just innocently walking down the street when he spots Shirogane Investigations and his eyes open wide. This is not a place he'd have thought to find! He doesn't expect to find his Naoto there, but he does expect to find a Naoto, so he goes in.
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What did he need a break from? The sads of being separated from Inaba House and especially Naoto. It's not as if he didn't have everyone at home, but he had different relationships with those iterations. He misses the closeness of Atia, forced or not. And of course he'd miss his girlfriend most of all...
So he's just innocently walking down the street when he spots Shirogane Investigations and his eyes open wide. This is not a place he'd have thought to find! He doesn't expect to find his Naoto there, but he does expect to find a Naoto, so he goes in.