The search field in the other players menu is no longer focused when the menu is opened

The Bug:

The search field in the other players menu is no longer focused when the menu is opened.

Since the other players menu was redesigned in 26.4 Snapshot 3, its search field is not selected when the menu opens, so typing a name does nothing until the field is clicked. This was fixed in 24w09a (MC-268236) and the fix was still in 26.3, but the redesign dropped it.

Steps to Reproduce:

1. Join a singleplayer world and open it to LAN.

2. Open the other players menu and observe if the text field is selected.

Observed Behavior:

The search field is not selected.

Expected Behavior:

The search field would be selected.