fig Support for JetBrains Fleet editor

Sanity checks

[X] I have searched github.com/withfig/fig/issues and there are no duplicates of my feature

Feature Details

Description:

I'd love to see support for Jetbrains new Fleet editor. Currently the integrated terminal does not seem to work with Fig.

Running fig doctor in the the Fleet terminal resulted in

$ fig doctor                                                                                                                                                                                                                                             
✘ Figterm: Socket exists but could not connect: Connection refused (os error 61)
✘ Doctor found errors. Please fix them and try again.

And fig diagnostics

$ fig diagnostics

fig-details:
  - 2.16.0
hardware-info:
  - model: 
  - model-id: 
  - chip-id: Apple M2 Pro
  - cores: 12
  - mem: 32.00 GB
os-info:
  - macOS 13.4.1 (22F770820d)
environment:
  - shell: /bin/zsh
  - terminal: <unknown>
  - cwd: /Users/rickstoopman
  - exe-path: /Users/rickstoopman/.fig/bin/fig
  - install-method: unknown
  - env-vars:
    - FIGTERM_SESSION_ID: eb04d085-d7b6-4228-af53-108becb70023
    - FIG_PID: 41928
    - FIG_SET_PARENT: eb04d085-d7b6-4228-af53-108becb70023
    - FIG_SET_PARENT_CHECK: 1
    - FIG_TERM: 2.16.0
    - PATH: /Users/rickstoopman/.nvm/versions/node/v18.17.0/bin:/opt/homebrew/bin:/opt/homebrew/sbin:/usr/local/bin:/System/Cryptexes/App/usr/bin:/usr/bin:/bin:/usr/sbin:/sbin:/var/run/com.apple.security.cryptexd/codex.system/bootstrap/usr/local/bin:/var/run/com.apple.security.cryptexd/codex.system/bootstrap/usr/bin:/var/run/com.apple.security.cryptexd/codex.system/bootstrap/usr/appleinternal/bin:/opt/homebrew/bin:/opt/homebrew/sbin:/Users/rickstoopman/.fig/bin:/Users/rickstoopman/.local/bin:/Users/rickstoopman/Library/Application Support/JetBrains/Toolbox/scripts:/Users/rickstoopman/Library/Application Support/JetBrains/Toolbox/scripts
    - SHELL: /bin/zsh
    - TERM: xterm-256color
    - __CFBundleIdentifier: Fleet.app

Much appreciated is this can be put on the roadmap!