JDK installation fails without error

**Describe the bug**

Clean bubblewrap install via npm. Running any bubblewrap command prompts for the JDK. Replying _Yes_ when asked whether bubblewrap should install the JDK, I see the download bar followed by the _Decompressing_ message. But then the command just exists. Running the same command again results in the same prompt to install the JDK and behavior:

```bash
$ bubblewrap doctor
,-----. ,--. ,--. ,--.
| |) /_,--.,--| |-.| |-.| |,---.,--. ,--,--.--.,--,--.,---.
| .-. | || | .-. | .-. | | .-. | |.'.| | .--' ,-. | .-. |
| '--' ' '' | `-' | `-' | \ --| .'. | | \ '-' | '-' '
`------' `----' `---' `---'`--'`----'--' '--`--' `--`--| |-'
`--'
? Do you want Bubblewrap to install the JDK (recommended)?
(Enter "No" to use your own JDK 17 installation) Yes
Downloading JDK 17 to /Users/moritz/.bubblewrap/jdk
Downloading the JDK 17 Sources...
>> [████████████████████████████████████████] 100% | 174793k of 174793k
Decompressing the JDK 17 Sources...

$ bubblewrap doctor
,-----. ,--. ,--. ,--.
| |) /_,--.,--| |-.| |-.| |,---.,--. ,--,--.--.,--,--.,---.
| .-. | || | .-. | .-. | | .-. | |.'.| | .--' ,-. | .-. |
| '--' ' '' | `-' | `-' | \ --| .'. | | \ '-' | '-' '
`------' `----' `---' `---'`--'`----'--' '--`--' `--`--| |-'
`--'
? Do you want Bubblewrap to install the JDK (recommended)?
(Enter "No" to use your own JDK 17 installation) (Y/n)
```

The command exits with code 0, so there's no error. It just doesn't work.

The same error also occurs when bubblewrap tries to install the Android SDK.

**To Reproduce**

1. `npm i -g @bubblewrap/cli`
2. `bubblewrap doctor`
3. Answer `Y` when prompted for the JDK

**Expected behavior**

The JDK installation via bubblewrap should finish correctly. After that, the JDK installed by bubblewrap should be detected and used automatically, or when prompted.

**Desktop (please complete the following information):**

- OS: macOS 26.5

Start by reproducing the failure with the bubblewrap doctor entry point after a global npm install, answering Yes to the JDK prompt on macOS. Trace the JDK and Android SDK installation paths and their post-decompression detection, then verify that doctor completes without exiting silently and reuses the installed tools on the next run.

Written by the indexing model from the issue text.