vite base not honored during dev mode

[lettucebowler]

Reproduction

https://github.com/lettucebowler/remix-base-path

System Info

System:
    OS: Linux 5.15 Ubuntu 22.04.3 LTS 22.04.3 LTS (Jammy Jellyfish)
    CPU: (24) x64 AMD Ryzen 9 5900X 12-Core Processor
    Memory: 29.32 GB / 31.30 GB
    Container: Yes
    Shell: 5.8.1 - /usr/bin/zsh
  Binaries:
    Node: 18.18.2 - ~/.volta/tools/image/node/18.18.2/bin/node
    npm: 9.8.1 - ~/.volta/tools/image/node/18.18.2/bin/npm
    pnpm: 8.10.5 - ~/.volta/bin/pnpm
  npmPackages:
    @remix-run/dev: ^2.3.0 => 2.3.0
    @remix-run/eslint-config: ^2.3.0 => 2.3.0
    @remix-run/express: ^2.3.0 => 2.3.0
    @remix-run/node: ^2.3.0 => 2.3.0
    @remix-run/react: ^2.3.0 => 2.3.0
    vite: ^5.0.0 => 5.0.0

Used Package Manager

pnpm

Expected Behavior

js should be loaded relative of the base path, not relative to the host.

my application needs to live alongside other applications on a subpath, and the workflow to run it locally required it to run behind a proxy on that subpath

Actual Behavior

vite files are doing this as of 2.3.0, but the application code (ex app/routes/_index.tsx, hmr-runtime, etc) are loaded relative of the root path. This breaks the application when it is run behind a proxy on the configured base path.

[pcattori]

Closing as v2.7 added basename support