language_tools: Split LSP log view selector into two (#21742)

This should make it easier to interact with LSP log view when there are
multiple language servers. I often find the current UI clunky when I
have over 5 servers running (which isn't uncommon with multiple projects
open)


https://github.com/user-attachments/assets/2ecaf17f-4b40-4c8f-aa6f-03b437a3d979


Closes #ISSUE

Release Notes:

- N/A