### Bug description
I want to use the local tinytex install to produce latex/pdf output. If I install tinytex with `quarto install tinytex`, the installation completely wipes my conda/mamba python folder and replaces it with the tinytex install. I have a local xelatex install, but I wanted tinytex to deal with latex package installation etc.  Here's the command I used.

```
$ quarto install tinytex
 ? tinytex is already installed. Do you want to update to v2023.05? (Y/n) › Yes

Updating TinyTeX from undefined to v2023.05
[✓] Downloading TinyTex v2023.05
Removing undefined
[✓] Removing directory
Installing v2023.05
[✓] Unzipping TinyTeX-v2023.05.tar.gz
[✓] Moving files
Finishing update
[✓] Verifying tlgpg support
[✓] Default Repository: https://ctan.math.illinois.edu/systems/texlive/tlnet/
Update successful
```

Basically, this command copies the tinytex install to `/home/luser mambaforge` folder, which is my Python work environment.

### System and version information
Installed quarto from conda package

These diagnostics are before trying to install tinytex as detailed above.

```
$ quarto list tools
[✓] Inspecting tools

Tool         Status                    Installed     Latest  
chromium     Not installed             ---           869685  
tinytex      External Installation     ---           v2023.05

$ quarto check

[✓] Checking versions of quarto binary dependencies...
      Pandoc version 3.1.1: OK
      Dart Sass version 1.58.3: OK
[✓] Checking versions of quarto dependencies......OK
[✓] Checking Quarto installation......OK
      Version: 1.3.340
      Path: /home/luser/mambaforge/bin

[✓] Checking basic markdown render....OK

[✓] Checking Python 3 installation....OK
      Version: 3.10.10 (Conda)
      Path: /home/luser/mambaforge/bin/python
      Jupyter: 5.3.0
      Kernels: python3

[✓] Checking Jupyter engine render....OK

[✓] Checking R installation...........(None)

      Unable to locate an installed version of R.
      Install R from https://cloud.r-project.org/
```
(I don't use R, so not bothered about the last message). 

My local environment:
```
$ env| grep -i quarto
QUARTO_CONDA_PREFIX=/home/luser/mambaforge
QUARTO_SHARE_PATH=/home/luser/mambaforge/share/quarto
QUARTO_DENO=/home/luser/mambaforge/bin/deno
QUARTO_DART_SASS=/home/luser/mambaforge/bin/sass
QUARTO_PANDOC=/home/luser/mambaforge/bin/pandoc
QUARTO_DENO_DOM=/home/luser/mambaforge/lib/deno_dom.so
QUARTO_ESBUILD=/home/luser/mambaforge/bin/esbuild
```

dragonstyle
2023-05-15T12:57:43Z
jgomezdans
bug third-party latex
v1.4
open
Tinytex install wipes off mamba installation
https://github.com/quarto-dev/quarto-cli/issues/5544