Improve profile for Organizations (#27982)

Improve profile for Organizations (#27982)

Fixes some problems in #27955:
- autofocus of the search box
before:
if access the home page will jump to the search box

![image](https://github.com/go-gitea/gitea/assets/18380374/7f100e8d-2bd6-4563-85ba-d6008ffc71d7)
after:
will not jump to the search box

![image](https://github.com/go-gitea/gitea/assets/18380374/9aab382c-8ebe-4d18-b990-4adbb6c341ad)

- incorrect display of overview tab
before:

![image](https://github.com/go-gitea/gitea/assets/18380374/b24c79e8-9b79-4576-9276-43bd19172043)
after:

![image](https://github.com/go-gitea/gitea/assets/18380374/7aab5827-f086-4874-bd84-39bd81b872f3)

- improve the permission check to the private profile repo
In #26295, we simply added access control to the private profile.
But if user have access to the private profile repo , we should also
display the profile.

- add a button which can jump to the repo list?
I agree @wxiaoguang 's opinion here:
https://github.com/go-gitea/gitea/pull/27955#issuecomment-1803178239
But it seems that this feature is sponsored.
So can we add a button which can quickly jump to the repo list or just
move profile to the `overview` page?

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Co-authored-by: silverwind <me@silverwind.io>