It's possible that there has been a change in the pack dynamics that he doesn't agree with. For example, if the pack starts to make decisions that go against Stiles' moral code or values, he may choose to distance himself from the pack meetings. Or maybe there is a new leader in the pack who has a different leadership style that Stiles doesn't like, and this causes him to stop coming.
Perhaps Stiles has found something else that he deems more important. It could be a new project, a relationship outside the pack, or a personal goal he wants to pursue. He might think that attending pack meetings is taking away time from this new focus in his life. Also, he could be facing some internal struggles, like self - doubt or a crisis of identity, and he needs some time away from the pack to figure things out.
The other characters might initially be confused. They could wonder why Stiles is suddenly absent and start to question if they did something wrong. Some characters may feel a sense of loss, especially those who were close to Stiles in the pack. They might miss his input during the meetings as he often had unique perspectives.
It could also be that they are used to Stiles being the one who takes care of them and remembers things for them. He's always been the planner and the one to keep things in order. So they unconsciously assume that he doesn't really care about his own birthday as much as he does about helping them, and they forget all about it.
Perhaps he feels that the other pack can offer him more opportunities for growth. In some fanfictions, the new pack might have access to different kinds of magic or knowledge that Stiles is eager to learn. So, he joins them to expand his skills and understanding.
One reason could be that he's tired of always being in the background. In the pack, others with more obvious powers might overshadow him. So he decides he's done and wants to find a place where he can shine on his own.
One possible reason could be that he feels he's a liability to the pack. Maybe he doesn't have the same supernatural abilities as the others and fears he'll hold them back during dangerous situations.
One reason could be a misunderstanding. Maybe someone in the pack misinterprets Stiles' actions as being against the pack's interests. For example, if he's involved in something that looks like it's endangering the pack but in reality he's trying to protect it.
One way is for the pack members to stand up for Stiles more often. If someone outside the pack is giving him a hard time, they should be there to protect him. Also, they could share their secrets with him, which would show that they trust him. This trust is an important part of any relationship and would help Stiles realize that they don't actually hate him.
In this kind of fanfiction, Stiles might decide to leave the pack due to feeling constantly underestimated or unappreciated. He could go off on his own and start to develop his own skills and relationships outside of the pack dynamic. Maybe he finds new allies who value him more than the pack did.
There could have been some misunderstandings. Perhaps Stiles overheard a conversation that he misinterpreted. Or some actions of the pack members were misconstrued by Stiles. For instance, if they were joking around but Stiles took it the wrong way and thought they were being mean on purpose, which made him think they hated him.
Perhaps Stiles discovers some dark secret about the alpha pack that endangers the entire town or the supernatural world he's a part of. In his sense of responsibility and his unique way of thinking, he figures that killing the alpha pack is the only solution to prevent a greater catastrophe. This can add a lot of depth to the fanfiction story, exploring Stiles' moral compass and his ability to make tough decisions.