Showing 'Joined' button instead of 'Join' while user trying to rejoin into a room

### Steps to reproduce

1. Leave any room
2. Search same room to rejoin
3. It shows 'Joined' button instead of 'Join'
4. But inside this room it shows option for 'Join'

### Outcome

#### What did you expect?
While trying to rejoin the room Button status should be 'Join' instead of 'Joined'

#### What happened instead?
Now While trying to rejoin the room It shows 'Joined' button instead of 'Join'

### Your phone model

iPad mini

### Operating system version

iOS 15.1

### Application version

Element 1.8.16

### Homeserver

matrix.org

### Will you send logs?

No

Reproduce the issue by leaving a room, searching for it on an iPad running iOS 15.1, and comparing the search result with the room's in-room Join option. Trace the room-search membership state and button handling; done means a user who has left sees Join while trying to rejoin, without changing the working in-room option.

Written by the indexing model from the issue text.